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Finding the Fourth Proportional to 402,435.76, 555,371.76 and 221,152.72

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Solution

The fourth proportional to 402,435.76, 555,371.76 and 221,152.72 is: 305,196.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,435.76 : 555,371.76 = 221,152.72 : x
  2. Step 2: Convert to fraction form
    402,435.76/555,371.76 = 221,152.72/x
  3. Step 3: Cross multiply
    402,435.76x = 555,371.76 × 221,152.72
  4. Step 4: Simplify right side
    402,435.76x = 122,821,975,335.19
  5. Step 5: Solve for x
    x = 122,821,975,335.19/402,435.76
  6. Step 6: Final answer
    x = 305,196.47

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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.