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Finding the Fourth Proportional to 542,013.12, 747,907.20 and 312,578.88

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Solution

The fourth proportional to 542,013.12, 747,907.20 and 312,578.88 is: 431,317.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,013.12 : 747,907.20 = 312,578.88 : x
  2. Step 2: Convert to fraction form
    542,013.12/747,907.20 = 312,578.88/x
  3. Step 3: Cross multiply
    542,013.12x = 747,907.20 × 312,578.88
  4. Step 4: Simplify right side
    542,013.12x = 233,779,994,919.94
  5. Step 5: Solve for x
    x = 233,779,994,919.94/542,013.12
  6. Step 6: Final answer
    x = 431,317.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.