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Finding the Fourth Proportional to 489,931.60, 676,179.48 and 299,055.64

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Solution

The fourth proportional to 489,931.60, 676,179.48 and 299,055.64 is: 412,741.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,931.60 : 676,179.48 = 299,055.64 : x
  2. Step 2: Convert to fraction form
    489,931.60/676,179.48 = 299,055.64/x
  3. Step 3: Cross multiply
    489,931.60x = 676,179.48 × 299,055.64
  4. Step 4: Simplify right side
    489,931.60x = 202,215,287,146.27
  5. Step 5: Solve for x
    x = 202,215,287,146.27/489,931.60
  6. Step 6: Final answer
    x = 412,741.87

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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.