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Finding the Fourth Proportional to 569,374.66, 785,737.20 and 311,252.74

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Solution

The fourth proportional to 569,374.66, 785,737.20 and 311,252.74 is: 429,528.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,374.66 : 785,737.20 = 311,252.74 : x
  2. Step 2: Convert to fraction form
    569,374.66/785,737.20 = 311,252.74/x
  3. Step 3: Cross multiply
    569,374.66x = 785,737.20 × 311,252.74
  4. Step 4: Simplify right side
    569,374.66x = 244,562,856,419.93
  5. Step 5: Solve for x
    x = 244,562,856,419.93/569,374.66
  6. Step 6: Final answer
    x = 429,528.87

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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.