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Finding the Fourth Proportional to 552,574.32, 762,551.34 and 310,857

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Solution

The fourth proportional to 552,574.32, 762,551.34 and 310,857 is: 428,981.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,574.32 : 762,551.34 = 310,857 : x
  2. Step 2: Convert to fraction form
    552,574.32/762,551.34 = 310,857/x
  3. Step 3: Cross multiply
    552,574.32x = 762,551.34 × 310,857
  4. Step 4: Simplify right side
    552,574.32x = 237,044,421,898.38
  5. Step 5: Solve for x
    x = 237,044,421,898.38/552,574.32
  6. Step 6: Final answer
    x = 428,981.97

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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.