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Finding the Fourth Proportional to 565,653.12, 780,489.28 and 317,302.96

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Solution

The fourth proportional to 565,653.12, 780,489.28 and 317,302.96 is: 437,815.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,653.12 : 780,489.28 = 317,302.96 : x
  2. Step 2: Convert to fraction form
    565,653.12/780,489.28 = 317,302.96/x
  3. Step 3: Cross multiply
    565,653.12x = 780,489.28 × 317,302.96
  4. Step 4: Simplify right side
    565,653.12x = 247,651,558,792.27
  5. Step 5: Solve for x
    x = 247,651,558,792.27/565,653.12
  6. Step 6: Final answer
    x = 437,815.24

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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.