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Finding the Fourth Proportional to 257,204.43, 354,938.24 and 142,482.71

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Solution

The fourth proportional to 257,204.43, 354,938.24 and 142,482.71 is: 196,624.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,204.43 : 354,938.24 = 142,482.71 : x
  2. Step 2: Convert to fraction form
    257,204.43/354,938.24 = 142,482.71/x
  3. Step 3: Cross multiply
    257,204.43x = 354,938.24 × 142,482.71
  4. Step 4: Simplify right side
    257,204.43x = 50,572,563,561.38
  5. Step 5: Solve for x
    x = 50,572,563,561.38/257,204.43
  6. Step 6: Final answer
    x = 196,624.00

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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.