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Finding the Fourth Proportional to 497,237.10, 745,855.65 and 419,477.10

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Solution

The fourth proportional to 497,237.10, 745,855.65 and 419,477.10 is: 629,215.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,237.10 : 745,855.65 = 419,477.10 : x
  2. Step 2: Convert to fraction form
    497,237.10/745,855.65 = 419,477.10/x
  3. Step 3: Cross multiply
    497,237.10x = 745,855.65 × 419,477.10
  4. Step 4: Simplify right side
    497,237.10x = 312,869,365,080.62
  5. Step 5: Solve for x
    x = 312,869,365,080.62/497,237.10
  6. Step 6: Final answer
    x = 629,215.65

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Similar ratio
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1.5x scale

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.