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Finding the Fourth Proportional to 292,273.92, 438,151.68 and 142,430.40

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Solution

The fourth proportional to 292,273.92, 438,151.68 and 142,430.40 is: 213,519.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,273.92 : 438,151.68 = 142,430.40 : x
  2. Step 2: Convert to fraction form
    292,273.92/438,151.68 = 142,430.40/x
  3. Step 3: Cross multiply
    292,273.92x = 438,151.68 × 142,430.40
  4. Step 4: Simplify right side
    292,273.92x = 62,406,119,043.07
  5. Step 5: Solve for x
    x = 62,406,119,043.07/292,273.92
  6. Step 6: Final answer
    x = 213,519.29

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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.