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Finding the Fourth Proportional to 565,150.32, 779,868.12 and 310,512.24

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Solution

The fourth proportional to 565,150.32, 779,868.12 and 310,512.24 is: 428,485.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,150.32 : 779,868.12 = 310,512.24 : x
  2. Step 2: Convert to fraction form
    565,150.32/779,868.12 = 310,512.24/x
  3. Step 3: Cross multiply
    565,150.32x = 779,868.12 × 310,512.24
  4. Step 4: Simplify right side
    565,150.32x = 242,158,596,845.79
  5. Step 5: Solve for x
    x = 242,158,596,845.79/565,150.32
  6. Step 6: Final answer
    x = 428,485.29

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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.