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Finding the Fourth Proportional to 257,034.08, 354,693.12 and 143,834.96

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Solution

The fourth proportional to 257,034.08, 354,693.12 and 143,834.96 is: 198,484.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,034.08 : 354,693.12 = 143,834.96 : x
  2. Step 2: Convert to fraction form
    257,034.08/354,693.12 = 143,834.96/x
  3. Step 3: Cross multiply
    257,034.08x = 354,693.12 × 143,834.96
  4. Step 4: Simplify right side
    257,034.08x = 51,017,270,727.48
  5. Step 5: Solve for x
    x = 51,017,270,727.48/257,034.08
  6. Step 6: Final answer
    x = 198,484.46

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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.