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Finding the Fourth Proportional to 565,710.85, 780,709.01 and 350,920.11

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Solution

The fourth proportional to 565,710.85, 780,709.01 and 350,920.11 is: 484,287.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,710.85 : 780,709.01 = 350,920.11 : x
  2. Step 2: Convert to fraction form
    565,710.85/780,709.01 = 350,920.11/x
  3. Step 3: Cross multiply
    565,710.85x = 780,709.01 × 350,920.11
  4. Step 4: Simplify right side
    565,710.85x = 273,966,492,840.25
  5. Step 5: Solve for x
    x = 273,966,492,840.25/565,710.85
  6. Step 6: Final answer
    x = 484,287.14

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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.