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Finding the Fourth Proportional to 540,314.84, 810,472.25 and 203,431.07

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Solution

The fourth proportional to 540,314.84, 810,472.25 and 203,431.07 is: 305,146.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,314.84 : 810,472.25 = 203,431.07 : x
  2. Step 2: Convert to fraction form
    540,314.84/810,472.25 = 203,431.07/x
  3. Step 3: Cross multiply
    540,314.84x = 810,472.25 × 203,431.07
  4. Step 4: Simplify right side
    540,314.84x = 164,875,239,557.57
  5. Step 5: Solve for x
    x = 164,875,239,557.57/540,314.84
  6. Step 6: Final answer
    x = 305,146.60

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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.