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Finding the Fourth Proportional to 923,206, 1,274,068.29 and 520,798

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Solution

The fourth proportional to 923,206, 1,274,068.29 and 520,798 is: 718,726.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,206 : 1,274,068.29 = 520,798 : x
  2. Step 2: Convert to fraction form
    923,206/1,274,068.29 = 520,798/x
  3. Step 3: Cross multiply
    923,206x = 1,274,068.29 × 520,798
  4. Step 4: Simplify right side
    923,206x = 663,532,217,295.42
  5. Step 5: Solve for x
    x = 663,532,217,295.42/923,206
  6. Step 6: Final answer
    x = 718,726.07

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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.