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Finding the Fourth Proportional to 644,695.14, 889,661.70 and 358,207.86

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Solution

The fourth proportional to 644,695.14, 889,661.70 and 358,207.86 is: 494,317.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,695.14 : 889,661.70 = 358,207.86 : x
  2. Step 2: Convert to fraction form
    644,695.14/889,661.70 = 358,207.86/x
  3. Step 3: Cross multiply
    644,695.14x = 889,661.70 × 358,207.86
  4. Step 4: Simplify right side
    644,695.14x = 318,683,813,680.96
  5. Step 5: Solve for x
    x = 318,683,813,680.96/644,695.14
  6. Step 6: Final answer
    x = 494,317.07

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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.