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Finding the Fourth Proportional to 292,513, 438,769.52 and 70,897

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Solution

The fourth proportional to 292,513, 438,769.52 and 70,897 is: 106,345.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,513 : 438,769.52 = 70,897 : x
  2. Step 2: Convert to fraction form
    292,513/438,769.52 = 70,897/x
  3. Step 3: Cross multiply
    292,513x = 438,769.52 × 70,897
  4. Step 4: Simplify right side
    292,513x = 31,107,442,659.44
  5. Step 5: Solve for x
    x = 31,107,442,659.44/292,513
  6. Step 6: Final answer
    x = 106,345.50

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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.