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Finding the Fourth Proportional to 714,148.70, 985,492.23 and 391,850.78

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Solution

The fourth proportional to 714,148.70, 985,492.23 and 391,850.78 is: 540,735.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,148.70 : 985,492.23 = 391,850.78 : x
  2. Step 2: Convert to fraction form
    714,148.70/985,492.23 = 391,850.78/x
  3. Step 3: Cross multiply
    714,148.70x = 985,492.23 × 391,850.78
  4. Step 4: Simplify right side
    714,148.70x = 386,165,899,009.44
  5. Step 5: Solve for x
    x = 386,165,899,009.44/714,148.70
  6. Step 6: Final answer
    x = 540,735.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.