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Finding the Fourth Proportional to 560,281, 840,428.80 and 186,304

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Solution

The fourth proportional to 560,281, 840,428.80 and 186,304 is: 279,458.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,281 : 840,428.80 = 186,304 : x
  2. Step 2: Convert to fraction form
    560,281/840,428.80 = 186,304/x
  3. Step 3: Cross multiply
    560,281x = 840,428.80 × 186,304
  4. Step 4: Simplify right side
    560,281x = 156,575,247,155.20
  5. Step 5: Solve for x
    x = 156,575,247,155.20/560,281
  6. Step 6: Final answer
    x = 279,458.43

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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.