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Finding the Fourth Proportional to 390,471.16, 585,484.80 and 153,685.48

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Solution

The fourth proportional to 390,471.16, 585,484.80 and 153,685.48 is: 230,440.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,471.16 : 585,484.80 = 153,685.48 : x
  2. Step 2: Convert to fraction form
    390,471.16/585,484.80 = 153,685.48/x
  3. Step 3: Cross multiply
    390,471.16x = 585,484.80 × 153,685.48
  4. Step 4: Simplify right side
    390,471.16x = 89,980,512,520.70
  5. Step 5: Solve for x
    x = 89,980,512,520.70/390,471.16
  6. Step 6: Final answer
    x = 230,440.87

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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.