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Finding the Fourth Proportional to 662,748, 993,514.56 and 258,213.12

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Solution

The fourth proportional to 662,748, 993,514.56 and 258,213.12 is: 387,083.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,748 : 993,514.56 = 258,213.12 : x
  2. Step 2: Convert to fraction form
    662,748/993,514.56 = 258,213.12/x
  3. Step 3: Cross multiply
    662,748x = 993,514.56 × 258,213.12
  4. Step 4: Simplify right side
    662,748x = 256,538,494,303.03
  5. Step 5: Solve for x
    x = 256,538,494,303.03/662,748
  6. Step 6: Final answer
    x = 387,083.02

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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.