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Finding the Fourth Proportional to 286,670.47, 430,008.31 and 86,990.86

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Solution

The fourth proportional to 286,670.47, 430,008.31 and 86,990.86 is: 130,487.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,670.47 : 430,008.31 = 86,990.86 : x
  2. Step 2: Convert to fraction form
    286,670.47/430,008.31 = 86,990.86/x
  3. Step 3: Cross multiply
    286,670.47x = 430,008.31 × 86,990.86
  4. Step 4: Simplify right side
    286,670.47x = 37,406,794,549.69
  5. Step 5: Solve for x
    x = 37,406,794,549.69/286,670.47
  6. Step 6: Final answer
    x = 130,487.09

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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.