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Finding the Fourth Proportional to 310,782.48, 465,171.20 and 160,816.40

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Solution

The fourth proportional to 310,782.48, 465,171.20 and 160,816.40 is: 240,705.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,782.48 : 465,171.20 = 160,816.40 : x
  2. Step 2: Convert to fraction form
    310,782.48/465,171.20 = 160,816.40/x
  3. Step 3: Cross multiply
    310,782.48x = 465,171.20 × 160,816.40
  4. Step 4: Simplify right side
    310,782.48x = 74,807,157,767.68
  5. Step 5: Solve for x
    x = 74,807,157,767.68/310,782.48
  6. Step 6: Final answer
    x = 240,705.84

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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.