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Finding the Fourth Proportional to 200,295.64, 276,407.40 and 115,412.50

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Solution

The fourth proportional to 200,295.64, 276,407.40 and 115,412.50 is: 159,268.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,295.64 : 276,407.40 = 115,412.50 : x
  2. Step 2: Convert to fraction form
    200,295.64/276,407.40 = 115,412.50/x
  3. Step 3: Cross multiply
    200,295.64x = 276,407.40 × 115,412.50
  4. Step 4: Simplify right side
    200,295.64x = 31,900,869,052.50
  5. Step 5: Solve for x
    x = 31,900,869,052.50/200,295.64
  6. Step 6: Final answer
    x = 159,268.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.