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Finding the Fourth Proportional to 288,603.76, 398,265.76 and 161,280.40

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Solution

The fourth proportional to 288,603.76, 398,265.76 and 161,280.40 is: 222,562.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,603.76 : 398,265.76 = 161,280.40 : x
  2. Step 2: Convert to fraction form
    288,603.76/398,265.76 = 161,280.40/x
  3. Step 3: Cross multiply
    288,603.76x = 398,265.76 × 161,280.40
  4. Step 4: Simplify right side
    288,603.76x = 64,232,461,079.10
  5. Step 5: Solve for x
    x = 64,232,461,079.10/288,603.76
  6. Step 6: Final answer
    x = 222,562.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.