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Finding the Fourth Proportional to 565,747.28, 780,735.72 and 307,624.40

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Solution

The fourth proportional to 565,747.28, 780,735.72 and 307,624.40 is: 424,524.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,747.28 : 780,735.72 = 307,624.40 : x
  2. Step 2: Convert to fraction form
    565,747.28/780,735.72 = 307,624.40/x
  3. Step 3: Cross multiply
    565,747.28x = 780,735.72 × 307,624.40
  4. Step 4: Simplify right side
    565,747.28x = 240,173,357,423.57
  5. Step 5: Solve for x
    x = 240,173,357,423.57/565,747.28
  6. Step 6: Final answer
    x = 424,524.10

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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.