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Finding the Fourth Proportional to 565,254.09, 780,056.79 and 310,605.24

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Solution

The fourth proportional to 565,254.09, 780,056.79 and 310,605.24 is: 428,638.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,254.09 : 780,056.79 = 310,605.24 : x
  2. Step 2: Convert to fraction form
    565,254.09/780,056.79 = 310,605.24/x
  3. Step 3: Cross multiply
    565,254.09x = 780,056.79 × 310,605.24
  4. Step 4: Simplify right side
    565,254.09x = 242,289,726,471.58
  5. Step 5: Solve for x
    x = 242,289,726,471.58/565,254.09
  6. Step 6: Final answer
    x = 428,638.61

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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.