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Finding the Fourth Proportional to 1,292,784.78, 1,939,177.17 and 406,320.78

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Solution

The fourth proportional to 1,292,784.78, 1,939,177.17 and 406,320.78 is: 609,481.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292,784.78 : 1,939,177.17 = 406,320.78 : x
  2. Step 2: Convert to fraction form
    1,292,784.78/1,939,177.17 = 406,320.78/x
  3. Step 3: Cross multiply
    1,292,784.78x = 1,939,177.17 × 406,320.78
  4. Step 4: Simplify right side
    1,292,784.78x = 787,927,980,272.59
  5. Step 5: Solve for x
    x = 787,927,980,272.59/1,292,784.78
  6. Step 6: Final answer
    x = 609,481.17

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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.