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Finding the Fourth Proportional to 261,885, 361,384.29 and 154,430.40

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Solution

The fourth proportional to 261,885, 361,384.29 and 154,430.40 is: 213,103.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,885 : 361,384.29 = 154,430.40 : x
  2. Step 2: Convert to fraction form
    261,885/361,384.29 = 154,430.40/x
  3. Step 3: Cross multiply
    261,885x = 361,384.29 × 154,430.40
  4. Step 4: Simplify right side
    261,885x = 55,808,720,458.42
  5. Step 5: Solve for x
    x = 55,808,720,458.42/261,885
  6. Step 6: Final answer
    x = 213,103.92

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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.