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Finding the Fourth Proportional to 565,457.36, 780,335.52 and 310,812.80

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Solution

The fourth proportional to 565,457.36, 780,335.52 and 310,812.80 is: 428,924.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,457.36 : 780,335.52 = 310,812.80 : x
  2. Step 2: Convert to fraction form
    565,457.36/780,335.52 = 310,812.80/x
  3. Step 3: Cross multiply
    565,457.36x = 780,335.52 × 310,812.80
  4. Step 4: Simplify right side
    565,457.36x = 242,538,267,910.66
  5. Step 5: Solve for x
    x = 242,538,267,910.66/565,457.36
  6. Step 6: Final answer
    x = 428,924.06

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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.