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Finding the Fourth Proportional to 540,709.16, 810,354.21 and 397,885.67

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Solution

The fourth proportional to 540,709.16, 810,354.21 and 397,885.67 is: 596,306.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,709.16 : 810,354.21 = 397,885.67 : x
  2. Step 2: Convert to fraction form
    540,709.16/810,354.21 = 397,885.67/x
  3. Step 3: Cross multiply
    540,709.16x = 810,354.21 × 397,885.67
  4. Step 4: Simplify right side
    540,709.16x = 322,428,329,809.06
  5. Step 5: Solve for x
    x = 322,428,329,809.06/540,709.16
  6. Step 6: Final answer
    x = 596,306.39

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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.