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Finding the Fourth Proportional to 524,888.46, 787,680.18 and 288,396

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Solution

The fourth proportional to 524,888.46, 787,680.18 and 288,396 is: 432,784.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,888.46 : 787,680.18 = 288,396 : x
  2. Step 2: Convert to fraction form
    524,888.46/787,680.18 = 288,396/x
  3. Step 3: Cross multiply
    524,888.46x = 787,680.18 × 288,396
  4. Step 4: Simplify right side
    524,888.46x = 227,163,813,191.28
  5. Step 5: Solve for x
    x = 227,163,813,191.28/524,888.46
  6. Step 6: Final answer
    x = 432,784.93

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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.