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Finding the Fourth Proportional to 565,849.22, 780,875.10 and 307,729.17

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Solution

The fourth proportional to 565,849.22, 780,875.10 and 307,729.17 is: 424,667.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,849.22 : 780,875.10 = 307,729.17 : x
  2. Step 2: Convert to fraction form
    565,849.22/780,875.10 = 307,729.17/x
  3. Step 3: Cross multiply
    565,849.22x = 780,875.10 × 307,729.17
  4. Step 4: Simplify right side
    565,849.22x = 240,298,046,396.67
  5. Step 5: Solve for x
    x = 240,298,046,396.67/565,849.22
  6. Step 6: Final answer
    x = 424,667.99

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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.