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Finding the Fourth Proportional to 286,637.87, 429,966.52 and 76,276.01

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Solution

The fourth proportional to 286,637.87, 429,966.52 and 76,276.01 is: 114,416.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,637.87 : 429,966.52 = 76,276.01 : x
  2. Step 2: Convert to fraction form
    286,637.87/429,966.52 = 76,276.01/x
  3. Step 3: Cross multiply
    286,637.87x = 429,966.52 × 76,276.01
  4. Step 4: Simplify right side
    286,637.87x = 32,796,131,463.41
  5. Step 5: Solve for x
    x = 32,796,131,463.41/286,637.87
  6. Step 6: Final answer
    x = 114,416.60

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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.