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Finding the Fourth Proportional to 313,091.64, 432,373.37 and 216,542.88

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Solution

The fourth proportional to 313,091.64, 432,373.37 and 216,542.88 is: 299,041.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,091.64 : 432,373.37 = 216,542.88 : x
  2. Step 2: Convert to fraction form
    313,091.64/432,373.37 = 216,542.88/x
  3. Step 3: Cross multiply
    313,091.64x = 432,373.37 × 216,542.88
  4. Step 4: Simplify right side
    313,091.64x = 93,627,374,775.11
  5. Step 5: Solve for x
    x = 93,627,374,775.11/313,091.64
  6. Step 6: Final answer
    x = 299,041.44

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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.