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Finding the Fourth Proportional to 453,782.34, 680,678.98 and 138,241.98

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Solution

The fourth proportional to 453,782.34, 680,678.98 and 138,241.98 is: 207,364.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,782.34 : 680,678.98 = 138,241.98 : x
  2. Step 2: Convert to fraction form
    453,782.34/680,678.98 = 138,241.98/x
  3. Step 3: Cross multiply
    453,782.34x = 680,678.98 × 138,241.98
  4. Step 4: Simplify right side
    453,782.34x = 94,098,409,939.58
  5. Step 5: Solve for x
    x = 94,098,409,939.58/453,782.34
  6. Step 6: Final answer
    x = 207,364.64

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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.