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Finding the Fourth Proportional to 390,965.82, 586,409.85 and 180,600.72

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Solution

The fourth proportional to 390,965.82, 586,409.85 and 180,600.72 is: 270,883.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,965.82 : 586,409.85 = 180,600.72 : x
  2. Step 2: Convert to fraction form
    390,965.82/586,409.85 = 180,600.72/x
  3. Step 3: Cross multiply
    390,965.82x = 586,409.85 × 180,600.72
  4. Step 4: Simplify right side
    390,965.82x = 105,906,041,125.09
  5. Step 5: Solve for x
    x = 105,906,041,125.09/390,965.82
  6. Step 6: Final answer
    x = 270,883.12

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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.