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Finding the Fourth Proportional to 287,266.77, 396,412.95 and 164,752.83

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Solution

The fourth proportional to 287,266.77, 396,412.95 and 164,752.83 is: 227,350.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,266.77 : 396,412.95 = 164,752.83 : x
  2. Step 2: Convert to fraction form
    287,266.77/396,412.95 = 164,752.83/x
  3. Step 3: Cross multiply
    287,266.77x = 396,412.95 × 164,752.83
  4. Step 4: Simplify right side
    287,266.77x = 65,310,155,361.15
  5. Step 5: Solve for x
    x = 65,310,155,361.15/287,266.77
  6. Step 6: Final answer
    x = 227,350.19

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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.