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Finding the Fourth Proportional to 510,350.73, 704,278.43 and 280,903.10

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Solution

The fourth proportional to 510,350.73, 704,278.43 and 280,903.10 is: 387,643.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,350.73 : 704,278.43 = 280,903.10 : x
  2. Step 2: Convert to fraction form
    510,350.73/704,278.43 = 280,903.10/x
  3. Step 3: Cross multiply
    510,350.73x = 704,278.43 × 280,903.10
  4. Step 4: Simplify right side
    510,350.73x = 197,833,990,377.61
  5. Step 5: Solve for x
    x = 197,833,990,377.61/510,350.73
  6. Step 6: Final answer
    x = 387,643.20

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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.