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Finding the Fourth Proportional to 429,342.40, 592,084.50 and 312,950.08

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Solution

The fourth proportional to 429,342.40, 592,084.50 and 312,950.08 is: 431,573.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,342.40 : 592,084.50 = 312,950.08 : x
  2. Step 2: Convert to fraction form
    429,342.40/592,084.50 = 312,950.08/x
  3. Step 3: Cross multiply
    429,342.40x = 592,084.50 × 312,950.08
  4. Step 4: Simplify right side
    429,342.40x = 185,292,891,641.76
  5. Step 5: Solve for x
    x = 185,292,891,641.76/429,342.40
  6. Step 6: Final answer
    x = 431,573.71

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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.