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Finding the Fourth Proportional to 408,053.40, 611,653.02 and 155,175.84

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Solution

The fourth proportional to 408,053.40, 611,653.02 and 155,175.84 is: 232,601.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,053.40 : 611,653.02 = 155,175.84 : x
  2. Step 2: Convert to fraction form
    408,053.40/611,653.02 = 155,175.84/x
  3. Step 3: Cross multiply
    408,053.40x = 611,653.02 × 155,175.84
  4. Step 4: Simplify right side
    408,053.40x = 94,913,771,167.04
  5. Step 5: Solve for x
    x = 94,913,771,167.04/408,053.40
  6. Step 6: Final answer
    x = 232,601.35

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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.