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Finding the Fourth Proportional to 453,319.68, 679,971.84 and 157,824

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Solution

The fourth proportional to 453,319.68, 679,971.84 and 157,824 is: 236,733.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,319.68 : 679,971.84 = 157,824 : x
  2. Step 2: Convert to fraction form
    453,319.68/679,971.84 = 157,824/x
  3. Step 3: Cross multiply
    453,319.68x = 679,971.84 × 157,824
  4. Step 4: Simplify right side
    453,319.68x = 107,315,875,676.16
  5. Step 5: Solve for x
    x = 107,315,875,676.16/453,319.68
  6. Step 6: Final answer
    x = 236,733.33

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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.