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Finding the Fourth Proportional to 557,164.32, 768,887.76 and 302,514.72

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Solution

The fourth proportional to 557,164.32, 768,887.76 and 302,514.72 is: 417,470.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,164.32 : 768,887.76 = 302,514.72 : x
  2. Step 2: Convert to fraction form
    557,164.32/768,887.76 = 302,514.72/x
  3. Step 3: Cross multiply
    557,164.32x = 768,887.76 × 302,514.72
  4. Step 4: Simplify right side
    557,164.32x = 232,599,865,427.83
  5. Step 5: Solve for x
    x = 232,599,865,427.83/557,164.32
  6. Step 6: Final answer
    x = 417,470.86

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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.