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Finding the Fourth Proportional to 422,764.83, 634,139.93 and 142,282.08

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Solution

The fourth proportional to 422,764.83, 634,139.93 and 142,282.08 is: 213,420.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,764.83 : 634,139.93 = 142,282.08 : x
  2. Step 2: Convert to fraction form
    422,764.83/634,139.93 = 142,282.08/x
  3. Step 3: Cross multiply
    422,764.83x = 634,139.93 × 142,282.08
  4. Step 4: Simplify right side
    422,764.83x = 90,226,748,607.16
  5. Step 5: Solve for x
    x = 90,226,748,607.16/422,764.83
  6. Step 6: Final answer
    x = 213,420.66

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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.