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Finding the Fourth Proportional to 489,924, 734,886 and 157,500

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Solution

The fourth proportional to 489,924, 734,886 and 157,500 is: 236,250

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,924 : 734,886 = 157,500 : x
  2. Step 2: Convert to fraction form
    489,924/734,886 = 157,500/x
  3. Step 3: Cross multiply
    489,924x = 734,886 × 157,500
  4. Step 4: Simplify right side
    489,924x = 115,744,545,000
  5. Step 5: Solve for x
    x = 115,744,545,000/489,924
  6. Step 6: Final answer
    x = 236,250

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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.