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Finding the Fourth Proportional to 565,238.82, 780,031.17 and 310,602.90

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Solution

The fourth proportional to 565,238.82, 780,031.17 and 310,602.90 is: 428,632.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,238.82 : 780,031.17 = 310,602.90 : x
  2. Step 2: Convert to fraction form
    565,238.82/780,031.17 = 310,602.90/x
  3. Step 3: Cross multiply
    565,238.82x = 780,031.17 × 310,602.90
  4. Step 4: Simplify right side
    565,238.82x = 242,279,943,492.39
  5. Step 5: Solve for x
    x = 242,279,943,492.39/565,238.82
  6. Step 6: Final answer
    x = 428,632.88

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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.