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Finding the Fourth Proportional to 407,999.70, 611,999.55 and 242,111.70

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Solution

The fourth proportional to 407,999.70, 611,999.55 and 242,111.70 is: 363,167.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,999.70 : 611,999.55 = 242,111.70 : x
  2. Step 2: Convert to fraction form
    407,999.70/611,999.55 = 242,111.70/x
  3. Step 3: Cross multiply
    407,999.70x = 611,999.55 × 242,111.70
  4. Step 4: Simplify right side
    407,999.70x = 148,172,251,449.74
  5. Step 5: Solve for x
    x = 148,172,251,449.74/407,999.70
  6. Step 6: Final answer
    x = 363,167.55

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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.