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Finding the Fourth Proportional to 402,064.80, 602,805.60 and 165,285.60

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Solution

The fourth proportional to 402,064.80, 602,805.60 and 165,285.60 is: 247,808.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,064.80 : 602,805.60 = 165,285.60 : x
  2. Step 2: Convert to fraction form
    402,064.80/602,805.60 = 165,285.60/x
  3. Step 3: Cross multiply
    402,064.80x = 602,805.60 × 165,285.60
  4. Step 4: Simplify right side
    402,064.80x = 99,635,085,279.36
  5. Step 5: Solve for x
    x = 99,635,085,279.36/402,064.80
  6. Step 6: Final answer
    x = 247,808.53

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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.