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Finding the Fourth Proportional to 286,638.62, 429,967.64 and 76,276.76

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Solution

The fourth proportional to 286,638.62, 429,967.64 and 76,276.76 is: 114,417.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,638.62 : 429,967.64 = 76,276.76 : x
  2. Step 2: Convert to fraction form
    286,638.62/429,967.64 = 76,276.76/x
  3. Step 3: Cross multiply
    286,638.62x = 429,967.64 × 76,276.76
  4. Step 4: Simplify right side
    286,638.62x = 32,796,535,952.82
  5. Step 5: Solve for x
    x = 32,796,535,952.82/286,638.62
  6. Step 6: Final answer
    x = 114,417.72

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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.