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Finding the Fourth Proportional to 720,074,384.20, 1,080,111,576.30 and 689,841,296.20

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Solution

The fourth proportional to 720,074,384.20, 1,080,111,576.30 and 689,841,296.20 is: 1,034,761,944.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,074,384.20 : 1,080,111,576.30 = 689,841,296.20 : x
  2. Step 2: Convert to fraction form
    720,074,384.20/1,080,111,576.30 = 689,841,296.20/x
  3. Step 3: Cross multiply
    720,074,384.20x = 1,080,111,576.30 × 689,841,296.20
  4. Step 4: Simplify right side
    720,074,384.20x = 745,105,569,835,417,216
  5. Step 5: Solve for x
    x = 745,105,569,835,417,216/720,074,384.20
  6. Step 6: Final answer
    x = 1,034,761,944.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.