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Finding the Fourth Proportional to 652,115.20, 978,172.80 and 402,937.60

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Solution

The fourth proportional to 652,115.20, 978,172.80 and 402,937.60 is: 604,406.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,115.20 : 978,172.80 = 402,937.60 : x
  2. Step 2: Convert to fraction form
    652,115.20/978,172.80 = 402,937.60/x
  3. Step 3: Cross multiply
    652,115.20x = 978,172.80 × 402,937.60
  4. Step 4: Simplify right side
    652,115.20x = 394,142,600,417.28
  5. Step 5: Solve for x
    x = 394,142,600,417.28/652,115.20
  6. Step 6: Final answer
    x = 604,406.40

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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.