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Finding the Fourth Proportional to 279,941.40, 420,036.16 and 146,790.04

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Solution

The fourth proportional to 279,941.40, 420,036.16 and 146,790.04 is: 220,250.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,941.40 : 420,036.16 = 146,790.04 : x
  2. Step 2: Convert to fraction form
    279,941.40/420,036.16 = 146,790.04/x
  3. Step 3: Cross multiply
    279,941.40x = 420,036.16 × 146,790.04
  4. Step 4: Simplify right side
    279,941.40x = 61,657,124,727.85
  5. Step 5: Solve for x
    x = 61,657,124,727.85/279,941.40
  6. Step 6: Final answer
    x = 220,250.11

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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.