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Finding the Fourth Proportional to 978,643.60, 1,467,965.40 and 313,862.80

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Solution

The fourth proportional to 978,643.60, 1,467,965.40 and 313,862.80 is: 470,794.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,643.60 : 1,467,965.40 = 313,862.80 : x
  2. Step 2: Convert to fraction form
    978,643.60/1,467,965.40 = 313,862.80/x
  3. Step 3: Cross multiply
    978,643.60x = 1,467,965.40 × 313,862.80
  4. Step 4: Simplify right side
    978,643.60x = 460,739,730,747.12
  5. Step 5: Solve for x
    x = 460,739,730,747.12/978,643.60
  6. Step 6: Final answer
    x = 470,794.20

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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.