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Finding the Fourth Proportional to 430,064.28, 645,105.36 and 156,501.12

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Solution

The fourth proportional to 430,064.28, 645,105.36 and 156,501.12 is: 234,754.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,064.28 : 645,105.36 = 156,501.12 : x
  2. Step 2: Convert to fraction form
    430,064.28/645,105.36 = 156,501.12/x
  3. Step 3: Cross multiply
    430,064.28x = 645,105.36 × 156,501.12
  4. Step 4: Simplify right side
    430,064.28x = 100,959,711,358.00
  5. Step 5: Solve for x
    x = 100,959,711,358.00/430,064.28
  6. Step 6: Final answer
    x = 234,754.93

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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.