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Finding the Fourth Proportional to 431,033.20, 646,549.80 and 164,802.40

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Solution

The fourth proportional to 431,033.20, 646,549.80 and 164,802.40 is: 247,203.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,033.20 : 646,549.80 = 164,802.40 : x
  2. Step 2: Convert to fraction form
    431,033.20/646,549.80 = 164,802.40/x
  3. Step 3: Cross multiply
    431,033.20x = 646,549.80 × 164,802.40
  4. Step 4: Simplify right side
    431,033.20x = 106,552,958,759.52
  5. Step 5: Solve for x
    x = 106,552,958,759.52/431,033.20
  6. Step 6: Final answer
    x = 247,203.60

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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.