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Finding the Fourth Proportional to 384,641.88, 577,017.42 and 118,424.52

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Solution

The fourth proportional to 384,641.88, 577,017.42 and 118,424.52 is: 177,653.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,641.88 : 577,017.42 = 118,424.52 : x
  2. Step 2: Convert to fraction form
    384,641.88/577,017.42 = 118,424.52/x
  3. Step 3: Cross multiply
    384,641.88x = 577,017.42 × 118,424.52
  4. Step 4: Simplify right side
    384,641.88x = 68,333,010,995.14
  5. Step 5: Solve for x
    x = 68,333,010,995.14/384,641.88
  6. Step 6: Final answer
    x = 177,653.59

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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.