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Finding the Fourth Proportional to 565,162.72, 779,923.92 and 310,513.28

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Solution

The fourth proportional to 565,162.72, 779,923.92 and 310,513.28 is: 428,507.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,162.72 : 779,923.92 = 310,513.28 : x
  2. Step 2: Convert to fraction form
    565,162.72/779,923.92 = 310,513.28/x
  3. Step 3: Cross multiply
    565,162.72x = 779,923.92 × 310,513.28
  4. Step 4: Simplify right side
    565,162.72x = 242,176,734,549.66
  5. Step 5: Solve for x
    x = 242,176,734,549.66/565,162.72
  6. Step 6: Final answer
    x = 428,507.98

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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.