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Finding the Fourth Proportional to 397,143.60, 548,068.56 and 227,432.40

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Solution

The fourth proportional to 397,143.60, 548,068.56 and 227,432.40 is: 313,862.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,143.60 : 548,068.56 = 227,432.40 : x
  2. Step 2: Convert to fraction form
    397,143.60/548,068.56 = 227,432.40/x
  3. Step 3: Cross multiply
    397,143.60x = 548,068.56 × 227,432.40
  4. Step 4: Simplify right side
    397,143.60x = 124,648,547,965.34
  5. Step 5: Solve for x
    x = 124,648,547,965.34/397,143.60
  6. Step 6: Final answer
    x = 313,862.66

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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.