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Finding the Fourth Proportional to 640,264.86, 960,397.32 and 219,544.38

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Solution

The fourth proportional to 640,264.86, 960,397.32 and 219,544.38 is: 329,316.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,264.86 : 960,397.32 = 219,544.38 : x
  2. Step 2: Convert to fraction form
    640,264.86/960,397.32 = 219,544.38/x
  3. Step 3: Cross multiply
    640,264.86x = 960,397.32 × 219,544.38
  4. Step 4: Simplify right side
    640,264.86x = 210,849,834,173.06
  5. Step 5: Solve for x
    x = 210,849,834,173.06/640,264.86
  6. Step 6: Final answer
    x = 329,316.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.