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Finding the Fourth Proportional to 378,953.84, 522,937.90 and 215,594.96

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Solution

The fourth proportional to 378,953.84, 522,937.90 and 215,594.96 is: 297,510.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,953.84 : 522,937.90 = 215,594.96 : x
  2. Step 2: Convert to fraction form
    378,953.84/522,937.90 = 215,594.96/x
  3. Step 3: Cross multiply
    378,953.84x = 522,937.90 × 215,594.96
  4. Step 4: Simplify right side
    378,953.84x = 112,742,775,632.98
  5. Step 5: Solve for x
    x = 112,742,775,632.98/378,953.84
  6. Step 6: Final answer
    x = 297,510.58

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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.