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Finding the Fourth Proportional to 565,513.28, 780,409.16 and 310,866.02

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Solution

The fourth proportional to 565,513.28, 780,409.16 and 310,866.02 is: 428,995.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,513.28 : 780,409.16 = 310,866.02 : x
  2. Step 2: Convert to fraction form
    565,513.28/780,409.16 = 310,866.02/x
  3. Step 3: Cross multiply
    565,513.28x = 780,409.16 × 310,866.02
  4. Step 4: Simplify right side
    565,513.28x = 242,602,689,540.74
  5. Step 5: Solve for x
    x = 242,602,689,540.74/565,513.28
  6. Step 6: Final answer
    x = 428,995.57

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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.