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Finding the Fourth Proportional to 312,242.84, 430,915.92 and 176,228.48

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Solution

The fourth proportional to 312,242.84, 430,915.92 and 176,228.48 is: 243,207.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,242.84 : 430,915.92 = 176,228.48 : x
  2. Step 2: Convert to fraction form
    312,242.84/430,915.92 = 176,228.48/x
  3. Step 3: Cross multiply
    312,242.84x = 430,915.92 × 176,228.48
  4. Step 4: Simplify right side
    312,242.84x = 75,939,657,589.40
  5. Step 5: Solve for x
    x = 75,939,657,589.40/312,242.84
  6. Step 6: Final answer
    x = 243,207.04

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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.