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Finding the Fourth Proportional to 1,006,494, 1,509,741 and 258,540

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Solution

The fourth proportional to 1,006,494, 1,509,741 and 258,540 is: 387,810

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006,494 : 1,509,741 = 258,540 : x
  2. Step 2: Convert to fraction form
    1,006,494/1,509,741 = 258,540/x
  3. Step 3: Cross multiply
    1,006,494x = 1,509,741 × 258,540
  4. Step 4: Simplify right side
    1,006,494x = 390,328,438,140
  5. Step 5: Solve for x
    x = 390,328,438,140/1,006,494
  6. Step 6: Final answer
    x = 387,810

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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.