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Finding the Fourth Proportional to 781,280.64, 1,171,920.96 and 282,528

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Solution

The fourth proportional to 781,280.64, 1,171,920.96 and 282,528 is: 423,792

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,280.64 : 1,171,920.96 = 282,528 : x
  2. Step 2: Convert to fraction form
    781,280.64/1,171,920.96 = 282,528/x
  3. Step 3: Cross multiply
    781,280.64x = 1,171,920.96 × 282,528
  4. Step 4: Simplify right side
    781,280.64x = 331,100,484,986.88
  5. Step 5: Solve for x
    x = 331,100,484,986.88/781,280.64
  6. Step 6: Final answer
    x = 423,792

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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.