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Finding the Fourth Proportional to 428,117.80, 642,176.70 and 401,873.80

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Solution

The fourth proportional to 428,117.80, 642,176.70 and 401,873.80 is: 602,810.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,117.80 : 642,176.70 = 401,873.80 : x
  2. Step 2: Convert to fraction form
    428,117.80/642,176.70 = 401,873.80/x
  3. Step 3: Cross multiply
    428,117.80x = 642,176.70 × 401,873.80
  4. Step 4: Simplify right side
    428,117.80x = 258,073,990,700.46
  5. Step 5: Solve for x
    x = 258,073,990,700.46/428,117.80
  6. Step 6: Final answer
    x = 602,810.70

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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.