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Finding the Fourth Proportional to 279,931.40, 420,026.70 and 146,961.80

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Solution

The fourth proportional to 279,931.40, 420,026.70 and 146,961.80 is: 220,510.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,931.40 : 420,026.70 = 146,961.80 : x
  2. Step 2: Convert to fraction form
    279,931.40/420,026.70 = 146,961.80/x
  3. Step 3: Cross multiply
    279,931.40x = 420,026.70 × 146,961.80
  4. Step 4: Simplify right side
    279,931.40x = 61,727,879,880.06
  5. Step 5: Solve for x
    x = 61,727,879,880.06/279,931.40
  6. Step 6: Final answer
    x = 220,510.74

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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.