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Finding the Fourth Proportional to 319,456.88, 479,228.54 and 109,038.32

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Solution

The fourth proportional to 319,456.88, 479,228.54 and 109,038.32 is: 163,572.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,456.88 : 479,228.54 = 109,038.32 : x
  2. Step 2: Convert to fraction form
    319,456.88/479,228.54 = 109,038.32/x
  3. Step 3: Cross multiply
    319,456.88x = 479,228.54 × 109,038.32
  4. Step 4: Simplify right side
    319,456.88x = 52,254,274,897.65
  5. Step 5: Solve for x
    x = 52,254,274,897.65/319,456.88
  6. Step 6: Final answer
    x = 163,572.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.