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Finding the Fourth Proportional to 429,281.46, 592,378.78 and 238,279.82

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Solution

The fourth proportional to 429,281.46, 592,378.78 and 238,279.82 is: 328,809.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,281.46 : 592,378.78 = 238,279.82 : x
  2. Step 2: Convert to fraction form
    429,281.46/592,378.78 = 238,279.82/x
  3. Step 3: Cross multiply
    429,281.46x = 592,378.78 × 238,279.82
  4. Step 4: Simplify right side
    429,281.46x = 141,151,909,070.22
  5. Step 5: Solve for x
    x = 141,151,909,070.22/429,281.46
  6. Step 6: Final answer
    x = 328,809.70

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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.