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Finding the Fourth Proportional to 642,062.15, 963,362.04 and 282,047.32

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Solution

The fourth proportional to 642,062.15, 963,362.04 and 282,047.32 is: 423,189.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,062.15 : 963,362.04 = 282,047.32 : x
  2. Step 2: Convert to fraction form
    642,062.15/963,362.04 = 282,047.32/x
  3. Step 3: Cross multiply
    642,062.15x = 963,362.04 × 282,047.32
  4. Step 4: Simplify right side
    642,062.15x = 271,713,681,571.73
  5. Step 5: Solve for x
    x = 271,713,681,571.73/642,062.15
  6. Step 6: Final answer
    x = 423,189.07

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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.