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Finding the Fourth Proportional to 542,069.58, 813,405.69 and 242,538.06

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Solution

The fourth proportional to 542,069.58, 813,405.69 and 242,538.06 is: 363,941.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,069.58 : 813,405.69 = 242,538.06 : x
  2. Step 2: Convert to fraction form
    542,069.58/813,405.69 = 242,538.06/x
  3. Step 3: Cross multiply
    542,069.58x = 813,405.69 × 242,538.06
  4. Step 4: Simplify right side
    542,069.58x = 197,281,838,045.56
  5. Step 5: Solve for x
    x = 197,281,838,045.56/542,069.58
  6. Step 6: Final answer
    x = 363,941.91

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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.