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Finding the Fourth Proportional to 546,780.20, 820,170.30 and 191,830.10

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Solution

The fourth proportional to 546,780.20, 820,170.30 and 191,830.10 is: 287,745.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,780.20 : 820,170.30 = 191,830.10 : x
  2. Step 2: Convert to fraction form
    546,780.20/820,170.30 = 191,830.10/x
  3. Step 3: Cross multiply
    546,780.20x = 820,170.30 × 191,830.10
  4. Step 4: Simplify right side
    546,780.20x = 157,333,350,666.03
  5. Step 5: Solve for x
    x = 157,333,350,666.03/546,780.20
  6. Step 6: Final answer
    x = 287,745.15

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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.