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Finding the Fourth Proportional to 291,878.55, 437,781.58 and 78,663.14

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Solution

The fourth proportional to 291,878.55, 437,781.58 and 78,663.14 is: 117,984.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,878.55 : 437,781.58 = 78,663.14 : x
  2. Step 2: Convert to fraction form
    291,878.55/437,781.58 = 78,663.14/x
  3. Step 3: Cross multiply
    291,878.55x = 437,781.58 × 78,663.14
  4. Step 4: Simplify right side
    291,878.55x = 34,437,272,973.08
  5. Step 5: Solve for x
    x = 34,437,272,973.08/291,878.55
  6. Step 6: Final answer
    x = 117,984.94

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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.