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Finding the Fourth Proportional to 1,509,742, 2,264,613 and 387,811

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Solution

The fourth proportional to 1,509,742, 2,264,613 and 387,811 is: 581,716.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509,742 : 2,264,613 = 387,811 : x
  2. Step 2: Convert to fraction form
    1,509,742/2,264,613 = 387,811/x
  3. Step 3: Cross multiply
    1,509,742x = 2,264,613 × 387,811
  4. Step 4: Simplify right side
    1,509,742x = 878,241,832,143
  5. Step 5: Solve for x
    x = 878,241,832,143/1,509,742
  6. Step 6: Final answer
    x = 581,716.50

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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.