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Finding the Fourth Proportional to 477,335.12, 715,964.96 and 277,528

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Solution

The fourth proportional to 477,335.12, 715,964.96 and 277,528 is: 416,270.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,335.12 : 715,964.96 = 277,528 : x
  2. Step 2: Convert to fraction form
    477,335.12/715,964.96 = 277,528/x
  3. Step 3: Cross multiply
    477,335.12x = 715,964.96 × 277,528
  4. Step 4: Simplify right side
    477,335.12x = 198,700,323,418.88
  5. Step 5: Solve for x
    x = 198,700,323,418.88/477,335.12
  6. Step 6: Final answer
    x = 416,270.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.