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Finding the Fourth Proportional to 312,145.80, 468,218.70 and 259,657.80

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Solution

The fourth proportional to 312,145.80, 468,218.70 and 259,657.80 is: 389,486.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,145.80 : 468,218.70 = 259,657.80 : x
  2. Step 2: Convert to fraction form
    312,145.80/468,218.70 = 259,657.80/x
  3. Step 3: Cross multiply
    312,145.80x = 468,218.70 × 259,657.80
  4. Step 4: Simplify right side
    312,145.80x = 121,576,637,560.86
  5. Step 5: Solve for x
    x = 121,576,637,560.86/312,145.80
  6. Step 6: Final answer
    x = 389,486.70

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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.