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Finding the Fourth Proportional to 402,070.47, 602,928.61 and 188,898.97

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Solution

The fourth proportional to 402,070.47, 602,928.61 and 188,898.97 is: 283,265.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,070.47 : 602,928.61 = 188,898.97 : x
  2. Step 2: Convert to fraction form
    402,070.47/602,928.61 = 188,898.97/x
  3. Step 3: Cross multiply
    402,070.47x = 602,928.61 × 188,898.97
  4. Step 4: Simplify right side
    402,070.47x = 113,892,593,412.53
  5. Step 5: Solve for x
    x = 113,892,593,412.53/402,070.47
  6. Step 6: Final answer
    x = 283,265.25

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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.