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Finding the Fourth Proportional to 565,740.48, 780,724.64 and 311,108.16

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Solution

The fourth proportional to 565,740.48, 780,724.64 and 311,108.16 is: 429,330.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,740.48 : 780,724.64 = 311,108.16 : x
  2. Step 2: Convert to fraction form
    565,740.48/780,724.64 = 311,108.16/x
  3. Step 3: Cross multiply
    565,740.48x = 780,724.64 × 311,108.16
  4. Step 4: Simplify right side
    565,740.48x = 242,889,806,217.06
  5. Step 5: Solve for x
    x = 242,889,806,217.06/565,740.48
  6. Step 6: Final answer
    x = 429,330.79

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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.