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Finding the Fourth Proportional to 200,057.20, 299,429.70 and 155,442.40

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Solution

The fourth proportional to 200,057.20, 299,429.70 and 155,442.40 is: 232,653.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,057.20 : 299,429.70 = 155,442.40 : x
  2. Step 2: Convert to fraction form
    200,057.20/299,429.70 = 155,442.40/x
  3. Step 3: Cross multiply
    200,057.20x = 299,429.70 × 155,442.40
  4. Step 4: Simplify right side
    200,057.20x = 46,544,071,199.28
  5. Step 5: Solve for x
    x = 46,544,071,199.28/200,057.20
  6. Step 6: Final answer
    x = 232,653.82

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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.