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Finding the Fourth Proportional to 408,654.80, 612,957.30 and 195,574.18

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Solution

The fourth proportional to 408,654.80, 612,957.30 and 195,574.18 is: 293,349.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,654.80 : 612,957.30 = 195,574.18 : x
  2. Step 2: Convert to fraction form
    408,654.80/612,957.30 = 195,574.18/x
  3. Step 3: Cross multiply
    408,654.80x = 612,957.30 × 195,574.18
  4. Step 4: Simplify right side
    408,654.80x = 119,878,621,322.51
  5. Step 5: Solve for x
    x = 119,878,621,322.51/408,654.80
  6. Step 6: Final answer
    x = 293,349.35

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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.