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Finding the Fourth Proportional to 565,390.89, 780,206.43 and 310,742.28

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Solution

The fourth proportional to 565,390.89, 780,206.43 and 310,742.28 is: 428,806.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,390.89 : 780,206.43 = 310,742.28 : x
  2. Step 2: Convert to fraction form
    565,390.89/780,206.43 = 310,742.28/x
  3. Step 3: Cross multiply
    565,390.89x = 780,206.43 × 310,742.28
  4. Step 4: Simplify right side
    565,390.89x = 242,443,124,928.86
  5. Step 5: Solve for x
    x = 242,443,124,928.86/565,390.89
  6. Step 6: Final answer
    x = 428,806.21

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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.