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Finding the Fourth Proportional to 286,526.59, 429,734.30 and 272,301.98

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Solution

The fourth proportional to 286,526.59, 429,734.30 and 272,301.98 is: 408,400.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,526.59 : 429,734.30 = 272,301.98 : x
  2. Step 2: Convert to fraction form
    286,526.59/429,734.30 = 272,301.98/x
  3. Step 3: Cross multiply
    286,526.59x = 429,734.30 × 272,301.98
  4. Step 4: Simplify right side
    286,526.59x = 117,017,497,253.73
  5. Step 5: Solve for x
    x = 117,017,497,253.73/286,526.59
  6. Step 6: Final answer
    x = 408,400.14

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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.