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Finding the Fourth Proportional to 292,216.88, 438,344.94 and 102,654.20

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Solution

The fourth proportional to 292,216.88, 438,344.94 and 102,654.20 is: 153,988.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,216.88 : 438,344.94 = 102,654.20 : x
  2. Step 2: Convert to fraction form
    292,216.88/438,344.94 = 102,654.20/x
  3. Step 3: Cross multiply
    292,216.88x = 438,344.94 × 102,654.20
  4. Step 4: Simplify right side
    292,216.88x = 44,997,949,139.75
  5. Step 5: Solve for x
    x = 44,997,949,139.75/292,216.88
  6. Step 6: Final answer
    x = 153,988.19

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1.5x scale

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.