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Finding the Fourth Proportional to 378,001.84, 521,606.64 and 216,870.16

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Solution

The fourth proportional to 378,001.84, 521,606.64 and 216,870.16 is: 299,260.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,001.84 : 521,606.64 = 216,870.16 : x
  2. Step 2: Convert to fraction form
    378,001.84/521,606.64 = 216,870.16/x
  3. Step 3: Cross multiply
    378,001.84x = 521,606.64 × 216,870.16
  4. Step 4: Simplify right side
    378,001.84x = 113,120,915,473.86
  5. Step 5: Solve for x
    x = 113,120,915,473.86/378,001.84
  6. Step 6: Final answer
    x = 299,260.22

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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.