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Finding the Fourth Proportional to 497,118.40, 686,023.02 and 270,763.90

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Solution

The fourth proportional to 497,118.40, 686,023.02 and 270,763.90 is: 373,653.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,118.40 : 686,023.02 = 270,763.90 : x
  2. Step 2: Convert to fraction form
    497,118.40/686,023.02 = 270,763.90/x
  3. Step 3: Cross multiply
    497,118.40x = 686,023.02 × 270,763.90
  4. Step 4: Simplify right side
    497,118.40x = 185,750,268,384.98
  5. Step 5: Solve for x
    x = 185,750,268,384.98/497,118.40
  6. Step 6: Final answer
    x = 373,653.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.