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Finding the Fourth Proportional to 315,415.40, 473,232.45 and 138,049.70

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Solution

The fourth proportional to 315,415.40, 473,232.45 and 138,049.70 is: 207,122.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,415.40 : 473,232.45 = 138,049.70 : x
  2. Step 2: Convert to fraction form
    315,415.40/473,232.45 = 138,049.70/x
  3. Step 3: Cross multiply
    315,415.40x = 473,232.45 × 138,049.70
  4. Step 4: Simplify right side
    315,415.40x = 65,329,597,752.77
  5. Step 5: Solve for x
    x = 65,329,597,752.77/315,415.40
  6. Step 6: Final answer
    x = 207,122.41

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1.5x scale

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.