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Finding the Fourth Proportional to 390,641.32, 585,961.98 and 141,265

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Solution

The fourth proportional to 390,641.32, 585,961.98 and 141,265 is: 211,897.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,641.32 : 585,961.98 = 141,265 : x
  2. Step 2: Convert to fraction form
    390,641.32/585,961.98 = 141,265/x
  3. Step 3: Cross multiply
    390,641.32x = 585,961.98 × 141,265
  4. Step 4: Simplify right side
    390,641.32x = 82,775,919,104.70
  5. Step 5: Solve for x
    x = 82,775,919,104.70/390,641.32
  6. Step 6: Final answer
    x = 211,897.50

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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.