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Finding the Fourth Proportional to 318,065.60, 438,972 and 205,216.64

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Solution

The fourth proportional to 318,065.60, 438,972 and 205,216.64 is: 283,225.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,065.60 : 438,972 = 205,216.64 : x
  2. Step 2: Convert to fraction form
    318,065.60/438,972 = 205,216.64/x
  3. Step 3: Cross multiply
    318,065.60x = 438,972 × 205,216.64
  4. Step 4: Simplify right side
    318,065.60x = 90,084,358,894.08
  5. Step 5: Solve for x
    x = 90,084,358,894.08/318,065.60
  6. Step 6: Final answer
    x = 283,225.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.