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Finding the Fourth Proportional to 569,686.80, 854,465.40 and 149,005.20

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Solution

The fourth proportional to 569,686.80, 854,465.40 and 149,005.20 is: 223,490.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,686.80 : 854,465.40 = 149,005.20 : x
  2. Step 2: Convert to fraction form
    569,686.80/854,465.40 = 149,005.20/x
  3. Step 3: Cross multiply
    569,686.80x = 854,465.40 × 149,005.20
  4. Step 4: Simplify right side
    569,686.80x = 127,319,787,820.08
  5. Step 5: Solve for x
    x = 127,319,787,820.08/569,686.80
  6. Step 6: Final answer
    x = 223,490.85

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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.