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Finding the Fourth Proportional to 652,123.20, 978,184.80 and 402,945.60

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Solution

The fourth proportional to 652,123.20, 978,184.80 and 402,945.60 is: 604,418.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,123.20 : 978,184.80 = 402,945.60 : x
  2. Step 2: Convert to fraction form
    652,123.20/978,184.80 = 402,945.60/x
  3. Step 3: Cross multiply
    652,123.20x = 978,184.80 × 402,945.60
  4. Step 4: Simplify right side
    652,123.20x = 394,155,261,146.88
  5. Step 5: Solve for x
    x = 394,155,261,146.88/652,123.20
  6. Step 6: Final answer
    x = 604,418.40

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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.