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Finding the Fourth Proportional to 489,984, 734,976 and 157,560

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Solution

The fourth proportional to 489,984, 734,976 and 157,560 is: 236,340

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,984 : 734,976 = 157,560 : x
  2. Step 2: Convert to fraction form
    489,984/734,976 = 157,560/x
  3. Step 3: Cross multiply
    489,984x = 734,976 × 157,560
  4. Step 4: Simplify right side
    489,984x = 115,802,818,560
  5. Step 5: Solve for x
    x = 115,802,818,560/489,984
  6. Step 6: Final answer
    x = 236,340

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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.