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Finding the Fourth Proportional to 310,143.60, 465,215.40 and 99,802.80

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Solution

The fourth proportional to 310,143.60, 465,215.40 and 99,802.80 is: 149,704.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,143.60 : 465,215.40 = 99,802.80 : x
  2. Step 2: Convert to fraction form
    310,143.60/465,215.40 = 99,802.80/x
  3. Step 3: Cross multiply
    310,143.60x = 465,215.40 × 99,802.80
  4. Step 4: Simplify right side
    310,143.60x = 46,429,799,523.12
  5. Step 5: Solve for x
    x = 46,429,799,523.12/310,143.60
  6. Step 6: Final answer
    x = 149,704.20

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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.