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Finding the Fourth Proportional to 315,448.48, 473,101.98 and 90,758.80

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Solution

The fourth proportional to 315,448.48, 473,101.98 and 90,758.80 is: 136,117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,448.48 : 473,101.98 = 90,758.80 : x
  2. Step 2: Convert to fraction form
    315,448.48/473,101.98 = 90,758.80/x
  3. Step 3: Cross multiply
    315,448.48x = 473,101.98 × 90,758.80
  4. Step 4: Simplify right side
    315,448.48x = 42,938,167,982.42
  5. Step 5: Solve for x
    x = 42,938,167,982.42/315,448.48
  6. Step 6: Final answer
    x = 136,117.85

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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.