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Finding the Fourth Proportional to 475,770.52, 713,586.06 and 138,720.64

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Solution

The fourth proportional to 475,770.52, 713,586.06 and 138,720.64 is: 208,060.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,770.52 : 713,586.06 = 138,720.64 : x
  2. Step 2: Convert to fraction form
    475,770.52/713,586.06 = 138,720.64/x
  3. Step 3: Cross multiply
    475,770.52x = 713,586.06 × 138,720.64
  4. Step 4: Simplify right side
    475,770.52x = 98,989,114,938.28
  5. Step 5: Solve for x
    x = 98,989,114,938.28/475,770.52
  6. Step 6: Final answer
    x = 208,060.63

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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.