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Finding the Fourth Proportional to 312,240.84, 430,913.16 and 176,226.48

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Solution

The fourth proportional to 312,240.84, 430,913.16 and 176,226.48 is: 243,204.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,240.84 : 430,913.16 = 176,226.48 : x
  2. Step 2: Convert to fraction form
    312,240.84/430,913.16 = 176,226.48/x
  3. Step 3: Cross multiply
    312,240.84x = 430,913.16 × 176,226.48
  4. Step 4: Simplify right side
    312,240.84x = 75,938,309,372.48
  5. Step 5: Solve for x
    x = 75,938,309,372.48/312,240.84
  6. Step 6: Final answer
    x = 243,204.28

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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.