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Finding the Fourth Proportional to 385,689.48, 578,317.56 and 264,247.08

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Solution

The fourth proportional to 385,689.48, 578,317.56 and 264,247.08 is: 396,222.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,689.48 : 578,317.56 = 264,247.08 : x
  2. Step 2: Convert to fraction form
    385,689.48/578,317.56 = 264,247.08/x
  3. Step 3: Cross multiply
    385,689.48x = 578,317.56 × 264,247.08
  4. Step 4: Simplify right side
    385,689.48x = 152,818,726,542.73
  5. Step 5: Solve for x
    x = 152,818,726,542.73/385,689.48
  6. Step 6: Final answer
    x = 396,222.18

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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.