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Finding the Fourth Proportional to 402,478.86, 555,393.93 and 221,186.89

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Solution

The fourth proportional to 402,478.86, 555,393.93 and 221,186.89 is: 305,223.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,478.86 : 555,393.93 = 221,186.89 : x
  2. Step 2: Convert to fraction form
    402,478.86/555,393.93 = 221,186.89/x
  3. Step 3: Cross multiply
    402,478.86x = 555,393.93 × 221,186.89
  4. Step 4: Simplify right side
    402,478.86x = 122,845,856,101.58
  5. Step 5: Solve for x
    x = 122,845,856,101.58/402,478.86
  6. Step 6: Final answer
    x = 305,223.13

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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.