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Finding the Fourth Proportional to 313,145.19, 469,712.30 and 216,993.74

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Solution

The fourth proportional to 313,145.19, 469,712.30 and 216,993.74 is: 325,486.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,145.19 : 469,712.30 = 216,993.74 : x
  2. Step 2: Convert to fraction form
    313,145.19/469,712.30 = 216,993.74/x
  3. Step 3: Cross multiply
    313,145.19x = 469,712.30 × 216,993.74
  4. Step 4: Simplify right side
    313,145.19x = 101,924,625,267.47
  5. Step 5: Solve for x
    x = 101,924,625,267.47/313,145.19
  6. Step 6: Final answer
    x = 325,486.80

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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.