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Finding the Fourth Proportional to 543,275.78, 749,768.02 and 316,994.18

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Solution

The fourth proportional to 543,275.78, 749,768.02 and 316,994.18 is: 437,479.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,275.78 : 749,768.02 = 316,994.18 : x
  2. Step 2: Convert to fraction form
    543,275.78/749,768.02 = 316,994.18/x
  3. Step 3: Cross multiply
    543,275.78x = 749,768.02 × 316,994.18
  4. Step 4: Simplify right side
    543,275.78x = 237,672,098,690.12
  5. Step 5: Solve for x
    x = 237,672,098,690.12/543,275.78
  6. Step 6: Final answer
    x = 437,479.65

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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.