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Finding the Fourth Proportional to 278,094.60, 417,113.01 and 188,711.10

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Solution

The fourth proportional to 278,094.60, 417,113.01 and 188,711.10 is: 283,047.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,094.60 : 417,113.01 = 188,711.10 : x
  2. Step 2: Convert to fraction form
    278,094.60/417,113.01 = 188,711.10/x
  3. Step 3: Cross multiply
    278,094.60x = 417,113.01 × 188,711.10
  4. Step 4: Simplify right side
    278,094.60x = 78,713,854,941.41
  5. Step 5: Solve for x
    x = 78,713,854,941.41/278,094.60
  6. Step 6: Final answer
    x = 283,047.05

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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.