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Finding the Fourth Proportional to 565,017.57, 779,724.78 and 310,385.16

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Solution

The fourth proportional to 565,017.57, 779,724.78 and 310,385.16 is: 428,331.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,017.57 : 779,724.78 = 310,385.16 : x
  2. Step 2: Convert to fraction form
    565,017.57/779,724.78 = 310,385.16/x
  3. Step 3: Cross multiply
    565,017.57x = 779,724.78 × 310,385.16
  4. Step 4: Simplify right side
    565,017.57x = 242,015,000,596.27
  5. Step 5: Solve for x
    x = 242,015,000,596.27/565,017.57
  6. Step 6: Final answer
    x = 428,331.81

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1.5x scale

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.