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Finding the Fourth Proportional to 557,946.66, 769,950.18 and 316,251.48

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Solution

The fourth proportional to 557,946.66, 769,950.18 and 316,251.48 is: 436,417.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,946.66 : 769,950.18 = 316,251.48 : x
  2. Step 2: Convert to fraction form
    557,946.66/769,950.18 = 316,251.48/x
  3. Step 3: Cross multiply
    557,946.66x = 769,950.18 × 316,251.48
  4. Step 4: Simplify right side
    557,946.66x = 243,497,883,951.27
  5. Step 5: Solve for x
    x = 243,497,883,951.27/557,946.66
  6. Step 6: Final answer
    x = 436,417.85

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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.