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Finding the Fourth Proportional to 565,250.64, 780,037.14 and 310,596.36

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Solution

The fourth proportional to 565,250.64, 780,037.14 and 310,596.36 is: 428,618.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,250.64 : 780,037.14 = 310,596.36 : x
  2. Step 2: Convert to fraction form
    565,250.64/780,037.14 = 310,596.36/x
  3. Step 3: Cross multiply
    565,250.64x = 780,037.14 × 310,596.36
  4. Step 4: Simplify right side
    565,250.64x = 242,276,696,348.81
  5. Step 5: Solve for x
    x = 242,276,696,348.81/565,250.64
  6. Step 6: Final answer
    x = 428,618.17

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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.