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Finding the Fourth Proportional to 510,026.83, 703,827.23 and 280,570.70

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Solution

The fourth proportional to 510,026.83, 703,827.23 and 280,570.70 is: 387,182.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,026.83 : 703,827.23 = 280,570.70 : x
  2. Step 2: Convert to fraction form
    510,026.83/703,827.23 = 280,570.70/x
  3. Step 3: Cross multiply
    510,026.83x = 703,827.23 × 280,570.70
  4. Step 4: Simplify right side
    510,026.83x = 197,473,298,956.88
  5. Step 5: Solve for x
    x = 197,473,298,956.88/510,026.83
  6. Step 6: Final answer
    x = 387,182.18

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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.