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Finding the Fourth Proportional to 565,898.40, 780,933.60 and 311,253.12

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Solution

The fourth proportional to 565,898.40, 780,933.60 and 311,253.12 is: 429,525.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,898.40 : 780,933.60 = 311,253.12 : x
  2. Step 2: Convert to fraction form
    565,898.40/780,933.60 = 311,253.12/x
  3. Step 3: Cross multiply
    565,898.40x = 780,933.60 × 311,253.12
  4. Step 4: Simplify right side
    565,898.40x = 243,068,019,512.83
  5. Step 5: Solve for x
    x = 243,068,019,512.83/565,898.40
  6. Step 6: Final answer
    x = 429,525.90

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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.