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Finding the Fourth Proportional to 803,463.92, 1,205,266.80 and 298,030.64

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Solution

The fourth proportional to 803,463.92, 1,205,266.80 and 298,030.64 is: 447,072.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,463.92 : 1,205,266.80 = 298,030.64 : x
  2. Step 2: Convert to fraction form
    803,463.92/1,205,266.80 = 298,030.64/x
  3. Step 3: Cross multiply
    803,463.92x = 1,205,266.80 × 298,030.64
  4. Step 4: Simplify right side
    803,463.92x = 359,206,435,774.75
  5. Step 5: Solve for x
    x = 359,206,435,774.75/803,463.92
  6. Step 6: Final answer
    x = 447,072.27

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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.