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Finding the Fourth Proportional to 282,399.40, 423,927.15 and 170,206.30

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Solution

The fourth proportional to 282,399.40, 423,927.15 and 170,206.30 is: 255,507.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,399.40 : 423,927.15 = 170,206.30 : x
  2. Step 2: Convert to fraction form
    282,399.40/423,927.15 = 170,206.30/x
  3. Step 3: Cross multiply
    282,399.40x = 423,927.15 × 170,206.30
  4. Step 4: Simplify right side
    282,399.40x = 72,155,071,671.05
  5. Step 5: Solve for x
    x = 72,155,071,671.05/282,399.40
  6. Step 6: Final answer
    x = 255,507.17

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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.