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Finding the Fourth Proportional to 314,751.12, 472,175.76 and 127,775.76

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Solution

The fourth proportional to 314,751.12, 472,175.76 and 127,775.76 is: 191,683.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,751.12 : 472,175.76 = 127,775.76 : x
  2. Step 2: Convert to fraction form
    314,751.12/472,175.76 = 127,775.76/x
  3. Step 3: Cross multiply
    314,751.12x = 472,175.76 × 127,775.76
  4. Step 4: Simplify right side
    314,751.12x = 60,332,616,587.58
  5. Step 5: Solve for x
    x = 60,332,616,587.58/314,751.12
  6. Step 6: Final answer
    x = 191,683.56

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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.