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Finding the Fourth Proportional to 423,054.77, 634,584.31 and 142,574.45

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Solution

The fourth proportional to 423,054.77, 634,584.31 and 142,574.45 is: 213,862.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,054.77 : 634,584.31 = 142,574.45 : x
  2. Step 2: Convert to fraction form
    423,054.77/634,584.31 = 142,574.45/x
  3. Step 3: Cross multiply
    423,054.77x = 634,584.31 × 142,574.45
  4. Step 4: Simplify right side
    423,054.77x = 90,475,505,447.52
  5. Step 5: Solve for x
    x = 90,475,505,447.52/423,054.77
  6. Step 6: Final answer
    x = 213,862.40

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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.