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Finding the Fourth Proportional to 472,031.21, 707,948.40 and 172,652.78

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Solution

The fourth proportional to 472,031.21, 707,948.40 and 172,652.78 is: 258,943.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,031.21 : 707,948.40 = 172,652.78 : x
  2. Step 2: Convert to fraction form
    472,031.21/707,948.40 = 172,652.78/x
  3. Step 3: Cross multiply
    472,031.21x = 707,948.40 × 172,652.78
  4. Step 4: Simplify right side
    472,031.21x = 122,229,259,356.55
  5. Step 5: Solve for x
    x = 122,229,259,356.55/472,031.21
  6. Step 6: Final answer
    x = 258,943.17

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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.