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Finding the Fourth Proportional to 581,085.84, 871,129.49 and 201,957.30

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Solution

The fourth proportional to 581,085.84, 871,129.49 and 201,957.30 is: 302,762.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,085.84 : 871,129.49 = 201,957.30 : x
  2. Step 2: Convert to fraction form
    581,085.84/871,129.49 = 201,957.30/x
  3. Step 3: Cross multiply
    581,085.84x = 871,129.49 × 201,957.30
  4. Step 4: Simplify right side
    581,085.84x = 175,930,962,765.07
  5. Step 5: Solve for x
    x = 175,930,962,765.07/581,085.84
  6. Step 6: Final answer
    x = 302,762.44

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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.