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Finding the Fourth Proportional to 286,377.40, 429,566.10 and 279,816.40

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Solution

The fourth proportional to 286,377.40, 429,566.10 and 279,816.40 is: 419,724.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,377.40 : 429,566.10 = 279,816.40 : x
  2. Step 2: Convert to fraction form
    286,377.40/429,566.10 = 279,816.40/x
  3. Step 3: Cross multiply
    286,377.40x = 429,566.10 × 279,816.40
  4. Step 4: Simplify right side
    286,377.40x = 120,199,639,664.04
  5. Step 5: Solve for x
    x = 120,199,639,664.04/286,377.40
  6. Step 6: Final answer
    x = 419,724.60

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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.