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Finding the Fourth Proportional to 381,713.60, 572,570.40 and 293,412.80

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Solution

The fourth proportional to 381,713.60, 572,570.40 and 293,412.80 is: 440,119.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,713.60 : 572,570.40 = 293,412.80 : x
  2. Step 2: Convert to fraction form
    381,713.60/572,570.40 = 293,412.80/x
  3. Step 3: Cross multiply
    381,713.60x = 572,570.40 × 293,412.80
  4. Step 4: Simplify right side
    381,713.60x = 167,999,484,261.12
  5. Step 5: Solve for x
    x = 167,999,484,261.12/381,713.60
  6. Step 6: Final answer
    x = 440,119.20

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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.