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Finding the Fourth Proportional to 565,386.88, 780,200.94 and 310,738.28

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Solution

The fourth proportional to 565,386.88, 780,200.94 and 310,738.28 is: 428,800.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,386.88 : 780,200.94 = 310,738.28 : x
  2. Step 2: Convert to fraction form
    565,386.88/780,200.94 = 310,738.28/x
  3. Step 3: Cross multiply
    565,386.88x = 780,200.94 × 310,738.28
  4. Step 4: Simplify right side
    565,386.88x = 242,438,298,149.98
  5. Step 5: Solve for x
    x = 242,438,298,149.98/565,386.88
  6. Step 6: Final answer
    x = 428,800.71

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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.