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Finding the Fourth Proportional to 315,280.80, 472,921.20 and 302,839.20

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Solution

The fourth proportional to 315,280.80, 472,921.20 and 302,839.20 is: 454,258.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,280.80 : 472,921.20 = 302,839.20 : x
  2. Step 2: Convert to fraction form
    315,280.80/472,921.20 = 302,839.20/x
  3. Step 3: Cross multiply
    315,280.80x = 472,921.20 × 302,839.20
  4. Step 4: Simplify right side
    315,280.80x = 143,219,077,871.04
  5. Step 5: Solve for x
    x = 143,219,077,871.04/315,280.80
  6. Step 6: Final answer
    x = 454,258.80

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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.