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Finding the Fourth Proportional to 506,711.28, 700,112.52 and 400,102.32

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Solution

The fourth proportional to 506,711.28, 700,112.52 and 400,102.32 is: 552,813.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,711.28 : 700,112.52 = 400,102.32 : x
  2. Step 2: Convert to fraction form
    506,711.28/700,112.52 = 400,102.32/x
  3. Step 3: Cross multiply
    506,711.28x = 700,112.52 × 400,102.32
  4. Step 4: Simplify right side
    506,711.28x = 280,116,643,513.05
  5. Step 5: Solve for x
    x = 280,116,643,513.05/506,711.28
  6. Step 6: Final answer
    x = 552,813.12

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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.