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Finding the Fourth Proportional to 489,495.56, 675,596.34 and 319,875.08

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Solution

The fourth proportional to 489,495.56, 675,596.34 and 319,875.08 is: 441,488.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,495.56 : 675,596.34 = 319,875.08 : x
  2. Step 2: Convert to fraction form
    489,495.56/675,596.34 = 319,875.08/x
  3. Step 3: Cross multiply
    489,495.56x = 675,596.34 × 319,875.08
  4. Step 4: Simplify right side
    489,495.56x = 216,106,433,305.21
  5. Step 5: Solve for x
    x = 216,106,433,305.21/489,495.56
  6. Step 6: Final answer
    x = 441,488.04

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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.