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Finding the Fourth Proportional to 438,031.80, 657,047.70 and 296,314.20

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Solution

The fourth proportional to 438,031.80, 657,047.70 and 296,314.20 is: 444,471.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,031.80 : 657,047.70 = 296,314.20 : x
  2. Step 2: Convert to fraction form
    438,031.80/657,047.70 = 296,314.20/x
  3. Step 3: Cross multiply
    438,031.80x = 657,047.70 × 296,314.20
  4. Step 4: Simplify right side
    438,031.80x = 194,692,563,587.34
  5. Step 5: Solve for x
    x = 194,692,563,587.34/438,031.80
  6. Step 6: Final answer
    x = 444,471.30

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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.