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Finding the Fourth Proportional to 520,374, 718,117.08 and 281,910

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Solution

The fourth proportional to 520,374, 718,117.08 and 281,910 is: 389,036.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,374 : 718,117.08 = 281,910 : x
  2. Step 2: Convert to fraction form
    520,374/718,117.08 = 281,910/x
  3. Step 3: Cross multiply
    520,374x = 718,117.08 × 281,910
  4. Step 4: Simplify right side
    520,374x = 202,444,386,022.80
  5. Step 5: Solve for x
    x = 202,444,386,022.80/520,374
  6. Step 6: Final answer
    x = 389,036.32

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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.