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Finding the Fourth Proportional to 489,908.19, 734,864.76 and 152,920.59

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Solution

The fourth proportional to 489,908.19, 734,864.76 and 152,920.59 is: 229,381.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,908.19 : 734,864.76 = 152,920.59 : x
  2. Step 2: Convert to fraction form
    489,908.19/734,864.76 = 152,920.59/x
  3. Step 3: Cross multiply
    489,908.19x = 734,864.76 × 152,920.59
  4. Step 4: Simplify right side
    489,908.19x = 112,375,952,669.41
  5. Step 5: Solve for x
    x = 112,375,952,669.41/489,908.19
  6. Step 6: Final answer
    x = 229,381.66

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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.