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Finding the Fourth Proportional to 402,462, 555,397.56 and 223,614

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Solution

The fourth proportional to 402,462, 555,397.56 and 223,614 is: 308,587.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,462 : 555,397.56 = 223,614 : x
  2. Step 2: Convert to fraction form
    402,462/555,397.56 = 223,614/x
  3. Step 3: Cross multiply
    402,462x = 555,397.56 × 223,614
  4. Step 4: Simplify right side
    402,462x = 124,194,669,981.84
  5. Step 5: Solve for x
    x = 124,194,669,981.84/402,462
  6. Step 6: Final answer
    x = 308,587.32

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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.