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Finding the Fourth Proportional to 278,702.10, 417,810.15 and 189,666.90

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Solution

The fourth proportional to 278,702.10, 417,810.15 and 189,666.90 is: 284,334.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,702.10 : 417,810.15 = 189,666.90 : x
  2. Step 2: Convert to fraction form
    278,702.10/417,810.15 = 189,666.90/x
  3. Step 3: Cross multiply
    278,702.10x = 417,810.15 × 189,666.90
  4. Step 4: Simplify right side
    278,702.10x = 79,244,755,939.04
  5. Step 5: Solve for x
    x = 79,244,755,939.04/278,702.10
  6. Step 6: Final answer
    x = 284,334.98

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1.5x scale

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.