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Finding the Fourth Proportional to 390,082.32, 585,117.99 and 123,838.74

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Solution

The fourth proportional to 390,082.32, 585,117.99 and 123,838.74 is: 185,756.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,082.32 : 585,117.99 = 123,838.74 : x
  2. Step 2: Convert to fraction form
    390,082.32/585,117.99 = 123,838.74/x
  3. Step 3: Cross multiply
    390,082.32x = 585,117.99 × 123,838.74
  4. Step 4: Simplify right side
    390,082.32x = 72,460,274,632.93
  5. Step 5: Solve for x
    x = 72,460,274,632.93/390,082.32
  6. Step 6: Final answer
    x = 185,756.37

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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.