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Finding the Fourth Proportional to 353,823.60, 488,898 and 282,789.84

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Solution

The fourth proportional to 353,823.60, 488,898 and 282,789.84 is: 390,746.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,823.60 : 488,898 = 282,789.84 : x
  2. Step 2: Convert to fraction form
    353,823.60/488,898 = 282,789.84/x
  3. Step 3: Cross multiply
    353,823.60x = 488,898 × 282,789.84
  4. Step 4: Simplify right side
    353,823.60x = 138,255,387,196.32
  5. Step 5: Solve for x
    x = 138,255,387,196.32/353,823.60
  6. Step 6: Final answer
    x = 390,746.65

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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.