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Finding the Fourth Proportional to 296,076.74, 408,327.62 and 209,865.20

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Solution

The fourth proportional to 296,076.74, 408,327.62 and 209,865.20 is: 289,430.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,076.74 : 408,327.62 = 209,865.20 : x
  2. Step 2: Convert to fraction form
    296,076.74/408,327.62 = 209,865.20/x
  3. Step 3: Cross multiply
    296,076.74x = 408,327.62 × 209,865.20
  4. Step 4: Simplify right side
    296,076.74x = 85,693,754,545.86
  5. Step 5: Solve for x
    x = 85,693,754,545.86/296,076.74
  6. Step 6: Final answer
    x = 289,430.90

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1.5x scale

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.