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Finding the Fourth Proportional to 309,642.42, 464,459.24 and 85,002.60

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Solution

The fourth proportional to 309,642.42, 464,459.24 and 85,002.60 is: 127,502.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,642.42 : 464,459.24 = 85,002.60 : x
  2. Step 2: Convert to fraction form
    309,642.42/464,459.24 = 85,002.60/x
  3. Step 3: Cross multiply
    309,642.42x = 464,459.24 × 85,002.60
  4. Step 4: Simplify right side
    309,642.42x = 39,480,242,994.02
  5. Step 5: Solve for x
    x = 39,480,242,994.02/309,642.42
  6. Step 6: Final answer
    x = 127,502.69

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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.