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Finding the Fourth Proportional to 292,031.80, 438,047.70 and 265,766.20

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Solution

The fourth proportional to 292,031.80, 438,047.70 and 265,766.20 is: 398,649.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,031.80 : 438,047.70 = 265,766.20 : x
  2. Step 2: Convert to fraction form
    292,031.80/438,047.70 = 265,766.20/x
  3. Step 3: Cross multiply
    292,031.80x = 438,047.70 × 265,766.20
  4. Step 4: Simplify right side
    292,031.80x = 116,418,272,647.74
  5. Step 5: Solve for x
    x = 116,418,272,647.74/292,031.80
  6. Step 6: Final answer
    x = 398,649.30

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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.