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Finding the Fourth Proportional to 565,597, 780,542.10 and 310,966.60

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Solution

The fourth proportional to 565,597, 780,542.10 and 310,966.60 is: 429,143.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,597 : 780,542.10 = 310,966.60 : x
  2. Step 2: Convert to fraction form
    565,597/780,542.10 = 310,966.60/x
  3. Step 3: Cross multiply
    565,597x = 780,542.10 × 310,966.60
  4. Step 4: Simplify right side
    565,597x = 242,722,522,993.86
  5. Step 5: Solve for x
    x = 242,722,522,993.86/565,597
  6. Step 6: Final answer
    x = 429,143.94

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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.