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Finding the Fourth Proportional to 362,406.80, 543,264.60 and 282,400.40

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Solution

The fourth proportional to 362,406.80, 543,264.60 and 282,400.40 is: 423,331.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,406.80 : 543,264.60 = 282,400.40 : x
  2. Step 2: Convert to fraction form
    362,406.80/543,264.60 = 282,400.40/x
  3. Step 3: Cross multiply
    362,406.80x = 543,264.60 × 282,400.40
  4. Step 4: Simplify right side
    362,406.80x = 153,418,140,345.84
  5. Step 5: Solve for x
    x = 153,418,140,345.84/362,406.80
  6. Step 6: Final answer
    x = 423,331.30

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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.