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Finding the Fourth Proportional to 524,889.96, 787,682.43 and 288,397.50

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Solution

The fourth proportional to 524,889.96, 787,682.43 and 288,397.50 is: 432,787.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,889.96 : 787,682.43 = 288,397.50 : x
  2. Step 2: Convert to fraction form
    524,889.96/787,682.43 = 288,397.50/x
  3. Step 3: Cross multiply
    524,889.96x = 787,682.43 × 288,397.50
  4. Step 4: Simplify right side
    524,889.96x = 227,165,643,605.93
  5. Step 5: Solve for x
    x = 227,165,643,605.93/524,889.96
  6. Step 6: Final answer
    x = 432,787.18

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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.