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Finding the Fourth Proportional to 777,342.88, 1,163,380.66 and 478,013.04

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Solution

The fourth proportional to 777,342.88, 1,163,380.66 and 478,013.04 is: 715,400.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,342.88 : 1,163,380.66 = 478,013.04 : x
  2. Step 2: Convert to fraction form
    777,342.88/1,163,380.66 = 478,013.04/x
  3. Step 3: Cross multiply
    777,342.88x = 1,163,380.66 × 478,013.04
  4. Step 4: Simplify right side
    777,342.88x = 556,111,125,963.81
  5. Step 5: Solve for x
    x = 556,111,125,963.81/777,342.88
  6. Step 6: Final answer
    x = 715,400.04

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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.