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Finding the Fourth Proportional to 298,465.34, 447,698.01 and 204,686.78

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Solution

The fourth proportional to 298,465.34, 447,698.01 and 204,686.78 is: 307,030.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,465.34 : 447,698.01 = 204,686.78 : x
  2. Step 2: Convert to fraction form
    298,465.34/447,698.01 = 204,686.78/x
  3. Step 3: Cross multiply
    298,465.34x = 447,698.01 × 204,686.78
  4. Step 4: Simplify right side
    298,465.34x = 91,637,864,079.31
  5. Step 5: Solve for x
    x = 91,637,864,079.31/298,465.34
  6. Step 6: Final answer
    x = 307,030.17

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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.