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Finding the Fourth Proportional to 453,973.10, 680,959.65 and 386,321.90

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Solution

The fourth proportional to 453,973.10, 680,959.65 and 386,321.90 is: 579,482.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,973.10 : 680,959.65 = 386,321.90 : x
  2. Step 2: Convert to fraction form
    453,973.10/680,959.65 = 386,321.90/x
  3. Step 3: Cross multiply
    453,973.10x = 680,959.65 × 386,321.90
  4. Step 4: Simplify right side
    453,973.10x = 263,069,625,811.34
  5. Step 5: Solve for x
    x = 263,069,625,811.34/453,973.10
  6. Step 6: Final answer
    x = 579,482.85

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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.