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Finding the Fourth Proportional to 510,830.40, 704,937.30 and 281,409.12

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Solution

The fourth proportional to 510,830.40, 704,937.30 and 281,409.12 is: 388,339.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,830.40 : 704,937.30 = 281,409.12 : x
  2. Step 2: Convert to fraction form
    510,830.40/704,937.30 = 281,409.12/x
  3. Step 3: Cross multiply
    510,830.40x = 704,937.30 × 281,409.12
  4. Step 4: Simplify right side
    510,830.40x = 198,375,785,248.18
  5. Step 5: Solve for x
    x = 198,375,785,248.18/510,830.40
  6. Step 6: Final answer
    x = 388,339.82

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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.