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Finding the Fourth Proportional to 286,899.86, 430,398.99 and 87,240.12

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Solution

The fourth proportional to 286,899.86, 430,398.99 and 87,240.12 is: 130,875.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,899.86 : 430,398.99 = 87,240.12 : x
  2. Step 2: Convert to fraction form
    286,899.86/430,398.99 = 87,240.12/x
  3. Step 3: Cross multiply
    286,899.86x = 430,398.99 × 87,240.12
  4. Step 4: Simplify right side
    286,899.86x = 37,548,059,535.48
  5. Step 5: Solve for x
    x = 37,548,059,535.48/286,899.86
  6. Step 6: Final answer
    x = 130,875.14

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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.