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Finding the Fourth Proportional to 565,842.22, 780,865.44 and 307,722.17

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Solution

The fourth proportional to 565,842.22, 780,865.44 and 307,722.17 is: 424,658.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,842.22 : 780,865.44 = 307,722.17 : x
  2. Step 2: Convert to fraction form
    565,842.22/780,865.44 = 307,722.17/x
  3. Step 3: Cross multiply
    565,842.22x = 780,865.44 × 307,722.17
  4. Step 4: Simplify right side
    565,842.22x = 240,289,607,674.81
  5. Step 5: Solve for x
    x = 240,289,607,674.81/565,842.22
  6. Step 6: Final answer
    x = 424,658.32

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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.