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Finding the Fourth Proportional to 518,185.98, 715,077.76 and 288,731.40

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Solution

The fourth proportional to 518,185.98, 715,077.76 and 288,731.40 is: 398,438.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,185.98 : 715,077.76 = 288,731.40 : x
  2. Step 2: Convert to fraction form
    518,185.98/715,077.76 = 288,731.40/x
  3. Step 3: Cross multiply
    518,185.98x = 715,077.76 × 288,731.40
  4. Step 4: Simplify right side
    518,185.98x = 206,465,402,753.66
  5. Step 5: Solve for x
    x = 206,465,402,753.66/518,185.98
  6. Step 6: Final answer
    x = 398,438.81

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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.