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Finding the Fourth Proportional to 510,051.42, 703,870.96 and 280,603.78

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Solution

The fourth proportional to 510,051.42, 703,870.96 and 280,603.78 is: 387,233.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,051.42 : 703,870.96 = 280,603.78 : x
  2. Step 2: Convert to fraction form
    510,051.42/703,870.96 = 280,603.78/x
  3. Step 3: Cross multiply
    510,051.42x = 703,870.96 × 280,603.78
  4. Step 4: Simplify right side
    510,051.42x = 197,508,852,008.23
  5. Step 5: Solve for x
    x = 197,508,852,008.23/510,051.42
  6. Step 6: Final answer
    x = 387,233.22

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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.