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Finding the Fourth Proportional to 575,741.98, 864,361.33 and 442,715.65

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Solution

The fourth proportional to 575,741.98, 864,361.33 and 442,715.65 is: 664,648.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,741.98 : 864,361.33 = 442,715.65 : x
  2. Step 2: Convert to fraction form
    575,741.98/864,361.33 = 442,715.65/x
  3. Step 3: Cross multiply
    575,741.98x = 864,361.33 × 442,715.65
  4. Step 4: Simplify right side
    575,741.98x = 382,666,288,045.82
  5. Step 5: Solve for x
    x = 382,666,288,045.82/575,741.98
  6. Step 6: Final answer
    x = 664,648.92

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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.