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Finding the Fourth Proportional to 287,968.47, 431,950.89 and 98,337.35

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Solution

The fourth proportional to 287,968.47, 431,950.89 and 98,337.35 is: 147,505.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,968.47 : 431,950.89 = 98,337.35 : x
  2. Step 2: Convert to fraction form
    287,968.47/431,950.89 = 98,337.35/x
  3. Step 3: Cross multiply
    287,968.47x = 431,950.89 × 98,337.35
  4. Step 4: Simplify right side
    287,968.47x = 42,476,903,692.99
  5. Step 5: Solve for x
    x = 42,476,903,692.99/287,968.47
  6. Step 6: Final answer
    x = 147,505.40

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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.