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Finding the Fourth Proportional to 457,068.78, 685,712.52 and 190,681.24

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Solution

The fourth proportional to 457,068.78, 685,712.52 and 190,681.24 is: 286,067.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,068.78 : 685,712.52 = 190,681.24 : x
  2. Step 2: Convert to fraction form
    457,068.78/685,712.52 = 190,681.24/x
  3. Step 3: Cross multiply
    457,068.78x = 685,712.52 × 190,681.24
  4. Step 4: Simplify right side
    457,068.78x = 130,752,513,597.13
  5. Step 5: Solve for x
    x = 130,752,513,597.13/457,068.78
  6. Step 6: Final answer
    x = 286,067.48

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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.