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Finding the Fourth Proportional to 402,697.96, 555,730.02 and 221,417.32

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Solution

The fourth proportional to 402,697.96, 555,730.02 and 221,417.32 is: 305,559.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,697.96 : 555,730.02 = 221,417.32 : x
  2. Step 2: Convert to fraction form
    402,697.96/555,730.02 = 221,417.32/x
  3. Step 3: Cross multiply
    402,697.96x = 555,730.02 × 221,417.32
  4. Step 4: Simplify right side
    402,697.96x = 123,048,251,671.95
  5. Step 5: Solve for x
    x = 123,048,251,671.95/402,697.96
  6. Step 6: Final answer
    x = 305,559.66

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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.