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Finding the Fourth Proportional to 493,655.60, 740,751.30 and 209,505.98

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Solution

The fourth proportional to 493,655.60, 740,751.30 and 209,505.98 is: 314,372.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,655.60 : 740,751.30 = 209,505.98 : x
  2. Step 2: Convert to fraction form
    493,655.60/740,751.30 = 209,505.98/x
  3. Step 3: Cross multiply
    493,655.60x = 740,751.30 × 209,505.98
  4. Step 4: Simplify right side
    493,655.60x = 155,191,823,339.02
  5. Step 5: Solve for x
    x = 155,191,823,339.02/493,655.60
  6. Step 6: Final answer
    x = 314,372.66

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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.