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Finding the Fourth Proportional to 346,798.20, 520,343.10 and 189,139.80

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Solution

The fourth proportional to 346,798.20, 520,343.10 and 189,139.80 is: 283,789.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,798.20 : 520,343.10 = 189,139.80 : x
  2. Step 2: Convert to fraction form
    346,798.20/520,343.10 = 189,139.80/x
  3. Step 3: Cross multiply
    346,798.20x = 520,343.10 × 189,139.80
  4. Step 4: Simplify right side
    346,798.20x = 98,417,589,865.38
  5. Step 5: Solve for x
    x = 98,417,589,865.38/346,798.20
  6. Step 6: Final answer
    x = 283,789.22

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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.