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Finding the Fourth Proportional to 442,264.05, 609,842.12 and 298,774.98

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Solution

The fourth proportional to 442,264.05, 609,842.12 and 298,774.98 is: 411,983.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,264.05 : 609,842.12 = 298,774.98 : x
  2. Step 2: Convert to fraction form
    442,264.05/609,842.12 = 298,774.98/x
  3. Step 3: Cross multiply
    442,264.05x = 609,842.12 × 298,774.98
  4. Step 4: Simplify right side
    442,264.05x = 182,205,565,712.28
  5. Step 5: Solve for x
    x = 182,205,565,712.28/442,264.05
  6. Step 6: Final answer
    x = 411,983.67

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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.