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Finding the Fourth Proportional to 510,838.72, 766,255.95 and 155,851.56

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Solution

The fourth proportional to 510,838.72, 766,255.95 and 155,851.56 is: 233,776.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,838.72 : 766,255.95 = 155,851.56 : x
  2. Step 2: Convert to fraction form
    510,838.72/766,255.95 = 155,851.56/x
  3. Step 3: Cross multiply
    510,838.72x = 766,255.95 × 155,851.56
  4. Step 4: Simplify right side
    510,838.72x = 119,422,185,166.78
  5. Step 5: Solve for x
    x = 119,422,185,166.78/510,838.72
  6. Step 6: Final answer
    x = 233,776.69

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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.