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Finding the Fourth Proportional to 510,857.08, 705,038.16 and 281,437.88

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Solution

The fourth proportional to 510,857.08, 705,038.16 and 281,437.88 is: 388,414.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,857.08 : 705,038.16 = 281,437.88 : x
  2. Step 2: Convert to fraction form
    510,857.08/705,038.16 = 281,437.88/x
  3. Step 3: Cross multiply
    510,857.08x = 705,038.16 × 281,437.88
  4. Step 4: Simplify right side
    510,857.08x = 198,424,445,069.50
  5. Step 5: Solve for x
    x = 198,424,445,069.50/510,857.08
  6. Step 6: Final answer
    x = 388,414.79

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1.5x scale

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.