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Finding the Fourth Proportional to 666,087.74, 999,459.66 and 311,050.16

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Solution

The fourth proportional to 666,087.74, 999,459.66 and 311,050.16 is: 466,728.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,087.74 : 999,459.66 = 311,050.16 : x
  2. Step 2: Convert to fraction form
    666,087.74/999,459.66 = 311,050.16/x
  3. Step 3: Cross multiply
    666,087.74x = 999,459.66 × 311,050.16
  4. Step 4: Simplify right side
    666,087.74x = 310,882,082,159.25
  5. Step 5: Solve for x
    x = 310,882,082,159.25/666,087.74
  6. Step 6: Final answer
    x = 466,728.43

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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.