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Finding the Fourth Proportional to 402,807.96, 604,211.74 and 191,806.20

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Solution

The fourth proportional to 402,807.96, 604,211.74 and 191,806.20 is: 287,709.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,807.96 : 604,211.74 = 191,806.20 : x
  2. Step 2: Convert to fraction form
    402,807.96/604,211.74 = 191,806.20/x
  3. Step 3: Cross multiply
    402,807.96x = 604,211.74 × 191,806.20
  4. Step 4: Simplify right side
    402,807.96x = 115,891,557,365.27
  5. Step 5: Solve for x
    x = 115,891,557,365.27/402,807.96
  6. Step 6: Final answer
    x = 287,709.20

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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.