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Finding the Fourth Proportional to 1,285,778, 1,928,667 and 497,810

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Solution

The fourth proportional to 1,285,778, 1,928,667 and 497,810 is: 746,715

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285,778 : 1,928,667 = 497,810 : x
  2. Step 2: Convert to fraction form
    1,285,778/1,928,667 = 497,810/x
  3. Step 3: Cross multiply
    1,285,778x = 1,928,667 × 497,810
  4. Step 4: Simplify right side
    1,285,778x = 960,109,719,270
  5. Step 5: Solve for x
    x = 960,109,719,270/1,285,778
  6. Step 6: Final answer
    x = 746,715

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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.