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Finding the Fourth Proportional to 385,689.98, 578,318.31 and 264,247.58

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Solution

The fourth proportional to 385,689.98, 578,318.31 and 264,247.58 is: 396,222.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,689.98 : 578,318.31 = 264,247.58 : x
  2. Step 2: Convert to fraction form
    385,689.98/578,318.31 = 264,247.58/x
  3. Step 3: Cross multiply
    385,689.98x = 578,318.31 × 264,247.58
  4. Step 4: Simplify right side
    385,689.98x = 152,819,213,887.19
  5. Step 5: Solve for x
    x = 152,819,213,887.19/385,689.98
  6. Step 6: Final answer
    x = 396,222.93

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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.