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Finding the Fourth Proportional to 391,702.96, 537,029.76 and 384,617.08

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Solution

The fourth proportional to 391,702.96, 537,029.76 and 384,617.08 is: 527,314.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,702.96 : 537,029.76 = 384,617.08 : x
  2. Step 2: Convert to fraction form
    391,702.96/537,029.76 = 384,617.08/x
  3. Step 3: Cross multiply
    391,702.96x = 537,029.76 × 384,617.08
  4. Step 4: Simplify right side
    391,702.96x = 206,550,818,164.30
  5. Step 5: Solve for x
    x = 206,550,818,164.30/391,702.96
  6. Step 6: Final answer
    x = 527,314.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.