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Finding the Fourth Proportional to 312,242.34, 430,915.23 and 176,227.98

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Solution

The fourth proportional to 312,242.34, 430,915.23 and 176,227.98 is: 243,206.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,242.34 : 430,915.23 = 176,227.98 : x
  2. Step 2: Convert to fraction form
    312,242.34/430,915.23 = 176,227.98/x
  3. Step 3: Cross multiply
    312,242.34x = 430,915.23 × 176,227.98
  4. Step 4: Simplify right side
    312,242.34x = 75,939,320,534.14
  5. Step 5: Solve for x
    x = 75,939,320,534.14/312,242.34
  6. Step 6: Final answer
    x = 243,206.35

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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.