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Finding the Fourth Proportional to 286,232.70, 429,349.05 and 86,583.90

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Solution

The fourth proportional to 286,232.70, 429,349.05 and 86,583.90 is: 129,875.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,232.70 : 429,349.05 = 86,583.90 : x
  2. Step 2: Convert to fraction form
    286,232.70/429,349.05 = 86,583.90/x
  3. Step 3: Cross multiply
    286,232.70x = 429,349.05 × 86,583.90
  4. Step 4: Simplify right side
    286,232.70x = 37,174,715,210.30
  5. Step 5: Solve for x
    x = 37,174,715,210.30/286,232.70
  6. Step 6: Final answer
    x = 129,875.85

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1.5x scale

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.