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Finding the Fourth Proportional to 287,934.67, 431,912.13 and 77,577.67

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Solution

The fourth proportional to 287,934.67, 431,912.13 and 77,577.67 is: 116,369.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,934.67 : 431,912.13 = 77,577.67 : x
  2. Step 2: Convert to fraction form
    287,934.67/431,912.13 = 77,577.67/x
  3. Step 3: Cross multiply
    287,934.67x = 431,912.13 × 77,577.67
  4. Step 4: Simplify right side
    287,934.67x = 33,506,736,690.14
  5. Step 5: Solve for x
    x = 33,506,736,690.14/287,934.67
  6. Step 6: Final answer
    x = 116,369.23

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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.