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Finding the Fourth Proportional to 557,023.14, 768,691.17 and 302,374.35

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Solution

The fourth proportional to 557,023.14, 768,691.17 and 302,374.35 is: 417,276.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,023.14 : 768,691.17 = 302,374.35 : x
  2. Step 2: Convert to fraction form
    557,023.14/768,691.17 = 302,374.35/x
  3. Step 3: Cross multiply
    557,023.14x = 768,691.17 × 302,374.35
  4. Step 4: Simplify right side
    557,023.14x = 232,432,492,879.49
  5. Step 5: Solve for x
    x = 232,432,492,879.49/557,023.14
  6. Step 6: Final answer
    x = 417,276.19

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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.