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Finding the Fourth Proportional to 453,927.60, 680,988.60 and 138,416.40

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Solution

The fourth proportional to 453,927.60, 680,988.60 and 138,416.40 is: 207,654.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,927.60 : 680,988.60 = 138,416.40 : x
  2. Step 2: Convert to fraction form
    453,927.60/680,988.60 = 138,416.40/x
  3. Step 3: Cross multiply
    453,927.60x = 680,988.60 × 138,416.40
  4. Step 4: Simplify right side
    453,927.60x = 94,259,990,453.04
  5. Step 5: Solve for x
    x = 94,259,990,453.04/453,927.60
  6. Step 6: Final answer
    x = 207,654.24

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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.