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Finding the Fourth Proportional to 1,018,342, 1,527,513 and 353,494

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Solution

The fourth proportional to 1,018,342, 1,527,513 and 353,494 is: 530,241

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018,342 : 1,527,513 = 353,494 : x
  2. Step 2: Convert to fraction form
    1,018,342/1,527,513 = 353,494/x
  3. Step 3: Cross multiply
    1,018,342x = 1,527,513 × 353,494
  4. Step 4: Simplify right side
    1,018,342x = 539,966,680,422
  5. Step 5: Solve for x
    x = 539,966,680,422/1,018,342
  6. Step 6: Final answer
    x = 530,241

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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.