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Finding the Fourth Proportional to 457,537.95, 686,209.32 and 288,832.77

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Solution

The fourth proportional to 457,537.95, 686,209.32 and 288,832.77 is: 433,187.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,537.95 : 686,209.32 = 288,832.77 : x
  2. Step 2: Convert to fraction form
    457,537.95/686,209.32 = 288,832.77/x
  3. Step 3: Cross multiply
    457,537.95x = 686,209.32 × 288,832.77
  4. Step 4: Simplify right side
    457,537.95x = 198,199,738,695.42
  5. Step 5: Solve for x
    x = 198,199,738,695.42/457,537.95
  6. Step 6: Final answer
    x = 433,187.54

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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.