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Finding the Fourth Proportional to 560,264, 840,403.32 and 186,287

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Solution

The fourth proportional to 560,264, 840,403.32 and 186,287 is: 279,432.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,264 : 840,403.32 = 186,287 : x
  2. Step 2: Convert to fraction form
    560,264/840,403.32 = 186,287/x
  3. Step 3: Cross multiply
    560,264x = 840,403.32 × 186,287
  4. Step 4: Simplify right side
    560,264x = 156,556,213,272.84
  5. Step 5: Solve for x
    x = 156,556,213,272.84/560,264
  6. Step 6: Final answer
    x = 279,432.93

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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.