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Finding the Fourth Proportional to 652,128.70, 978,193.05 and 402,951.10

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Solution

The fourth proportional to 652,128.70, 978,193.05 and 402,951.10 is: 604,426.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,128.70 : 978,193.05 = 402,951.10 : x
  2. Step 2: Convert to fraction form
    652,128.70/978,193.05 = 402,951.10/x
  3. Step 3: Cross multiply
    652,128.70x = 978,193.05 × 402,951.10
  4. Step 4: Simplify right side
    652,128.70x = 394,163,965,509.86
  5. Step 5: Solve for x
    x = 394,163,965,509.86/652,128.70
  6. Step 6: Final answer
    x = 604,426.65

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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.