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Finding the Fourth Proportional to 565,356, 780,191.28 and 310,723.59

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Solution

The fourth proportional to 565,356, 780,191.28 and 310,723.59 is: 428,798.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,356 : 780,191.28 = 310,723.59 : x
  2. Step 2: Convert to fraction form
    565,356/780,191.28 = 310,723.59/x
  3. Step 3: Cross multiply
    565,356x = 780,191.28 × 310,723.59
  4. Step 4: Simplify right side
    565,356x = 242,423,835,408.30
  5. Step 5: Solve for x
    x = 242,423,835,408.30/565,356
  6. Step 6: Final answer
    x = 428,798.55

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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.