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Finding the Fourth Proportional to 646,713.64, 969,737.82 and 347,446.36

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Solution

The fourth proportional to 646,713.64, 969,737.82 and 347,446.36 is: 520,990.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,713.64 : 969,737.82 = 347,446.36 : x
  2. Step 2: Convert to fraction form
    646,713.64/969,737.82 = 347,446.36/x
  3. Step 3: Cross multiply
    646,713.64x = 969,737.82 × 347,446.36
  4. Step 4: Simplify right side
    646,713.64x = 336,931,875,713.34
  5. Step 5: Solve for x
    x = 336,931,875,713.34/646,713.64
  6. Step 6: Final answer
    x = 520,990.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.