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Finding the Fourth Proportional to 560,255, 840,389.78 and 186,278

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Solution

The fourth proportional to 560,255, 840,389.78 and 186,278 is: 279,419.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,255 : 840,389.78 = 186,278 : x
  2. Step 2: Convert to fraction form
    560,255/840,389.78 = 186,278/x
  3. Step 3: Cross multiply
    560,255x = 840,389.78 × 186,278
  4. Step 4: Simplify right side
    560,255x = 156,546,127,438.84
  5. Step 5: Solve for x
    x = 156,546,127,438.84/560,255
  6. Step 6: Final answer
    x = 279,419.42

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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.