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Finding the Fourth Proportional to 288,395.73, 432,686.01 and 201,931.67

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Solution

The fourth proportional to 288,395.73, 432,686.01 and 201,931.67 is: 302,962.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,395.73 : 432,686.01 = 201,931.67 : x
  2. Step 2: Convert to fraction form
    288,395.73/432,686.01 = 201,931.67/x
  3. Step 3: Cross multiply
    288,395.73x = 432,686.01 × 201,931.67
  4. Step 4: Simplify right side
    288,395.73x = 87,373,008,584.94
  5. Step 5: Solve for x
    x = 87,373,008,584.94/288,395.73
  6. Step 6: Final answer
    x = 302,962.21

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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.