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Finding the Fourth Proportional to 518,031.66, 714,872.93 and 288,588.63

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Solution

The fourth proportional to 518,031.66, 714,872.93 and 288,588.63 is: 398,246.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,031.66 : 714,872.93 = 288,588.63 : x
  2. Step 2: Convert to fraction form
    518,031.66/714,872.93 = 288,588.63/x
  3. Step 3: Cross multiply
    518,031.66x = 714,872.93 × 288,588.63
  4. Step 4: Simplify right side
    518,031.66x = 206,304,200,730.62
  5. Step 5: Solve for x
    x = 206,304,200,730.62/518,031.66
  6. Step 6: Final answer
    x = 398,246.31

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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.