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Finding the Fourth Proportional to 286,580.61, 429,870.42 and 76,218.57

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Solution

The fourth proportional to 286,580.61, 429,870.42 and 76,218.57 is: 114,327.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,580.61 : 429,870.42 = 76,218.57 : x
  2. Step 2: Convert to fraction form
    286,580.61/429,870.42 = 76,218.57/x
  3. Step 3: Cross multiply
    286,580.61x = 429,870.42 × 76,218.57
  4. Step 4: Simplify right side
    286,580.61x = 32,764,108,697.70
  5. Step 5: Solve for x
    x = 32,764,108,697.70/286,580.61
  6. Step 6: Final answer
    x = 114,327.72

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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.