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Finding the Fourth Proportional to 378,031.84, 521,667.84 and 216,774.88

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Solution

The fourth proportional to 378,031.84, 521,667.84 and 216,774.88 is: 299,140.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,031.84 : 521,667.84 = 216,774.88 : x
  2. Step 2: Convert to fraction form
    378,031.84/521,667.84 = 216,774.88/x
  3. Step 3: Cross multiply
    378,031.84x = 521,667.84 × 216,774.88
  4. Step 4: Simplify right side
    378,031.84x = 113,084,483,415.86
  5. Step 5: Solve for x
    x = 113,084,483,415.86/378,031.84
  6. Step 6: Final answer
    x = 299,140.10

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1.5x scale

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.