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Finding the Fourth Proportional to 403,970.88, 557,504.80 and 222,681.92

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Solution

The fourth proportional to 403,970.88, 557,504.80 and 222,681.92 is: 307,314.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,970.88 : 557,504.80 = 222,681.92 : x
  2. Step 2: Convert to fraction form
    403,970.88/557,504.80 = 222,681.92/x
  3. Step 3: Cross multiply
    403,970.88x = 557,504.80 × 222,681.92
  4. Step 4: Simplify right side
    403,970.88x = 124,146,239,273.22
  5. Step 5: Solve for x
    x = 124,146,239,273.22/403,970.88
  6. Step 6: Final answer
    x = 307,314.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.