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Finding the Fourth Proportional to 390,068.60, 584,642.10 and 165,428.60

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Solution

The fourth proportional to 390,068.60, 584,642.10 and 165,428.60 is: 247,947.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,068.60 : 584,642.10 = 165,428.60 : x
  2. Step 2: Convert to fraction form
    390,068.60/584,642.10 = 165,428.60/x
  3. Step 3: Cross multiply
    390,068.60x = 584,642.10 × 165,428.60
  4. Step 4: Simplify right side
    390,068.60x = 96,716,524,104.06
  5. Step 5: Solve for x
    x = 96,716,524,104.06/390,068.60
  6. Step 6: Final answer
    x = 247,947.47

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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.