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Finding the Fourth Proportional to 286,329.30, 429,384.60 and 86,583.30

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Solution

The fourth proportional to 286,329.30, 429,384.60 and 86,583.30 is: 129,841.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,329.30 : 429,384.60 = 86,583.30 : x
  2. Step 2: Convert to fraction form
    286,329.30/429,384.60 = 86,583.30/x
  3. Step 3: Cross multiply
    286,329.30x = 429,384.60 × 86,583.30
  4. Step 4: Simplify right side
    286,329.30x = 37,177,535,637.18
  5. Step 5: Solve for x
    x = 37,177,535,637.18/286,329.30
  6. Step 6: Final answer
    x = 129,841.88

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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.