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Finding the Fourth Proportional to 415,877.40, 573,646.53 and 272,646.72

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Solution

The fourth proportional to 415,877.40, 573,646.53 and 272,646.72 is: 376,079.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,877.40 : 573,646.53 = 272,646.72 : x
  2. Step 2: Convert to fraction form
    415,877.40/573,646.53 = 272,646.72/x
  3. Step 3: Cross multiply
    415,877.40x = 573,646.53 × 272,646.72
  4. Step 4: Simplify right side
    415,877.40x = 156,402,844,843.88
  5. Step 5: Solve for x
    x = 156,402,844,843.88/415,877.40
  6. Step 6: Final answer
    x = 376,079.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.