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Finding the Fourth Proportional to 257,849.80, 355,759.70 and 167,209.40

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Solution

The fourth proportional to 257,849.80, 355,759.70 and 167,209.40 is: 230,701.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,849.80 : 355,759.70 = 167,209.40 : x
  2. Step 2: Convert to fraction form
    257,849.80/355,759.70 = 167,209.40/x
  3. Step 3: Cross multiply
    257,849.80x = 355,759.70 × 167,209.40
  4. Step 4: Simplify right side
    257,849.80x = 59,486,365,981.18
  5. Step 5: Solve for x
    x = 59,486,365,981.18/257,849.80
  6. Step 6: Final answer
    x = 230,701.62

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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.