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Finding the Fourth Proportional to 313,709.78, 432,915.14 and 174,004.12

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Solution

The fourth proportional to 313,709.78, 432,915.14 and 174,004.12 is: 240,123.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,709.78 : 432,915.14 = 174,004.12 : x
  2. Step 2: Convert to fraction form
    313,709.78/432,915.14 = 174,004.12/x
  3. Step 3: Cross multiply
    313,709.78x = 432,915.14 × 174,004.12
  4. Step 4: Simplify right side
    313,709.78x = 75,329,017,970.38
  5. Step 5: Solve for x
    x = 75,329,017,970.38/313,709.78
  6. Step 6: Final answer
    x = 240,123.27

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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.