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Finding the Fourth Proportional to 213,510.30, 320,265.45 and 134,972.70

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Solution

The fourth proportional to 213,510.30, 320,265.45 and 134,972.70 is: 202,459.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,510.30 : 320,265.45 = 134,972.70 : x
  2. Step 2: Convert to fraction form
    213,510.30/320,265.45 = 134,972.70/x
  3. Step 3: Cross multiply
    213,510.30x = 320,265.45 × 134,972.70
  4. Step 4: Simplify right side
    213,510.30x = 43,227,092,503.22
  5. Step 5: Solve for x
    x = 43,227,092,503.22/213,510.30
  6. Step 6: Final answer
    x = 202,459.05

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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.