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Finding the Fourth Proportional to 515,959.32, 773,880.60 and 178,937.76

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Solution

The fourth proportional to 515,959.32, 773,880.60 and 178,937.76 is: 268,386.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,959.32 : 773,880.60 = 178,937.76 : x
  2. Step 2: Convert to fraction form
    515,959.32/773,880.60 = 178,937.76/x
  3. Step 3: Cross multiply
    515,959.32x = 773,880.60 × 178,937.76
  4. Step 4: Simplify right side
    515,959.32x = 138,476,461,071.46
  5. Step 5: Solve for x
    x = 138,476,461,071.46/515,959.32
  6. Step 6: Final answer
    x = 268,386.39

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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.