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Finding the Fourth Proportional to 287,421.84, 431,135.28 and 100,433.76

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Solution

The fourth proportional to 287,421.84, 431,135.28 and 100,433.76 is: 150,651.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,421.84 : 431,135.28 = 100,433.76 : x
  2. Step 2: Convert to fraction form
    287,421.84/431,135.28 = 100,433.76/x
  3. Step 3: Cross multiply
    287,421.84x = 431,135.28 × 100,433.76
  4. Step 4: Simplify right side
    287,421.84x = 43,300,537,239.05
  5. Step 5: Solve for x
    x = 43,300,537,239.05/287,421.84
  6. Step 6: Final answer
    x = 150,651.52

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1.5x scale

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.