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Finding the Fourth Proportional to 402,653.81, 555,648.10 and 221,364.43

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Solution

The fourth proportional to 402,653.81, 555,648.10 and 221,364.43 is: 305,475.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,653.81 : 555,648.10 = 221,364.43 : x
  2. Step 2: Convert to fraction form
    402,653.81/555,648.10 = 221,364.43/x
  3. Step 3: Cross multiply
    402,653.81x = 555,648.10 × 221,364.43
  4. Step 4: Simplify right side
    402,653.81x = 123,000,722,994.55
  5. Step 5: Solve for x
    x = 123,000,722,994.55/402,653.81
  6. Step 6: Final answer
    x = 305,475.12

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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.