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Finding the Fourth Proportional to 565,446.08, 780,317.28 and 310,823.36

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Solution

The fourth proportional to 565,446.08, 780,317.28 and 310,823.36 is: 428,937.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,446.08 : 780,317.28 = 310,823.36 : x
  2. Step 2: Convert to fraction form
    565,446.08/780,317.28 = 310,823.36/x
  3. Step 3: Cross multiply
    565,446.08x = 780,317.28 × 310,823.36
  4. Step 4: Simplify right side
    565,446.08x = 242,540,838,835.66
  5. Step 5: Solve for x
    x = 242,540,838,835.66/565,446.08
  6. Step 6: Final answer
    x = 428,937.17

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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.