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Finding the Fourth Proportional to 497,774.60, 746,661.90 and 420,014.60

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Solution

The fourth proportional to 497,774.60, 746,661.90 and 420,014.60 is: 630,021.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,774.60 : 746,661.90 = 420,014.60 : x
  2. Step 2: Convert to fraction form
    497,774.60/746,661.90 = 420,014.60/x
  3. Step 3: Cross multiply
    497,774.60x = 746,661.90 × 420,014.60
  4. Step 4: Simplify right side
    497,774.60x = 313,608,899,263.74
  5. Step 5: Solve for x
    x = 313,608,899,263.74/497,774.60
  6. Step 6: Final answer
    x = 630,021.90

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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.