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Finding the Fourth Proportional to 286,638.58, 430,130.67 and 99,781.30

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Solution

The fourth proportional to 286,638.58, 430,130.67 and 99,781.30 is: 149,732.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,638.58 : 430,130.67 = 99,781.30 : x
  2. Step 2: Convert to fraction form
    286,638.58/430,130.67 = 99,781.30/x
  3. Step 3: Cross multiply
    286,638.58x = 430,130.67 × 99,781.30
  4. Step 4: Simplify right side
    286,638.58x = 42,918,997,422.47
  5. Step 5: Solve for x
    x = 42,918,997,422.47/286,638.58
  6. Step 6: Final answer
    x = 149,732.10

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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.