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Finding the Fourth Proportional to 423,278.68, 634,879.14 and 142,798.36

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Solution

The fourth proportional to 423,278.68, 634,879.14 and 142,798.36 is: 214,184.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,278.68 : 634,879.14 = 142,798.36 : x
  2. Step 2: Convert to fraction form
    423,278.68/634,879.14 = 142,798.36/x
  3. Step 3: Cross multiply
    423,278.68x = 634,879.14 × 142,798.36
  4. Step 4: Simplify right side
    423,278.68x = 90,659,699,990.21
  5. Step 5: Solve for x
    x = 90,659,699,990.21/423,278.68
  6. Step 6: Final answer
    x = 214,184.42

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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.