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Finding the Fourth Proportional to 438,023.80, 657,294.90 and 288,695.80

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Solution

The fourth proportional to 438,023.80, 657,294.90 and 288,695.80 is: 433,214.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,023.80 : 657,294.90 = 288,695.80 : x
  2. Step 2: Convert to fraction form
    438,023.80/657,294.90 = 288,695.80/x
  3. Step 3: Cross multiply
    438,023.80x = 657,294.90 × 288,695.80
  4. Step 4: Simplify right side
    438,023.80x = 189,758,276,991.42
  5. Step 5: Solve for x
    x = 189,758,276,991.42/438,023.80
  6. Step 6: Final answer
    x = 433,214.54

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1.5x scale

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.