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Finding the Fourth Proportional to 565,383.62, 780,244.18 and 310,741.50

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Solution

The fourth proportional to 565,383.62, 780,244.18 and 310,741.50 is: 428,831.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,383.62 : 780,244.18 = 310,741.50 : x
  2. Step 2: Convert to fraction form
    565,383.62/780,244.18 = 310,741.50/x
  3. Step 3: Cross multiply
    565,383.62x = 780,244.18 × 310,741.50
  4. Step 4: Simplify right side
    565,383.62x = 242,454,246,859.47
  5. Step 5: Solve for x
    x = 242,454,246,859.47/565,383.62
  6. Step 6: Final answer
    x = 428,831.40

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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.