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Finding the Fourth Proportional to 292,253.76, 438,276.96 and 105,215.04

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Solution

The fourth proportional to 292,253.76, 438,276.96 and 105,215.04 is: 157,785.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,253.76 : 438,276.96 = 105,215.04 : x
  2. Step 2: Convert to fraction form
    292,253.76/438,276.96 = 105,215.04/x
  3. Step 3: Cross multiply
    292,253.76x = 438,276.96 × 105,215.04
  4. Step 4: Simplify right side
    292,253.76x = 46,113,327,877.48
  5. Step 5: Solve for x
    x = 46,113,327,877.48/292,253.76
  6. Step 6: Final answer
    x = 157,785.23

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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.