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Finding the Fourth Proportional to 489,514.56, 675,622.56 and 319,894.08

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Solution

The fourth proportional to 489,514.56, 675,622.56 and 319,894.08 is: 441,514.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,514.56 : 675,622.56 = 319,894.08 : x
  2. Step 2: Convert to fraction form
    489,514.56/675,622.56 = 319,894.08/x
  3. Step 3: Cross multiply
    489,514.56x = 675,622.56 × 319,894.08
  4. Step 4: Simplify right side
    489,514.56x = 216,127,657,258.45
  5. Step 5: Solve for x
    x = 216,127,657,258.45/489,514.56
  6. Step 6: Final answer
    x = 441,514.26

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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.