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Finding the Fourth Proportional to 427,321.80, 589,686.30 and 233,726.40

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Solution

The fourth proportional to 427,321.80, 589,686.30 and 233,726.40 is: 322,532.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,321.80 : 589,686.30 = 233,726.40 : x
  2. Step 2: Convert to fraction form
    427,321.80/589,686.30 = 233,726.40/x
  3. Step 3: Cross multiply
    427,321.80x = 589,686.30 × 233,726.40
  4. Step 4: Simplify right side
    427,321.80x = 137,825,256,028.32
  5. Step 5: Solve for x
    x = 137,825,256,028.32/427,321.80
  6. Step 6: Final answer
    x = 322,532.70

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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.