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Finding the Fourth Proportional to 653,130.81, 979,773.80 and 400,294.17

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Solution

The fourth proportional to 653,130.81, 979,773.80 and 400,294.17 is: 600,488.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,130.81 : 979,773.80 = 400,294.17 : x
  2. Step 2: Convert to fraction form
    653,130.81/979,773.80 = 400,294.17/x
  3. Step 3: Cross multiply
    653,130.81x = 979,773.80 × 400,294.17
  4. Step 4: Simplify right side
    653,130.81x = 392,197,738,057.28
  5. Step 5: Solve for x
    x = 392,197,738,057.28/653,130.81
  6. Step 6: Final answer
    x = 600,488.80

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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.