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Finding the Fourth Proportional to 402,497.16, 555,459.40 and 221,215.52

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Solution

The fourth proportional to 402,497.16, 555,459.40 and 221,215.52 is: 305,284.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,497.16 : 555,459.40 = 221,215.52 : x
  2. Step 2: Convert to fraction form
    402,497.16/555,459.40 = 221,215.52/x
  3. Step 3: Cross multiply
    402,497.16x = 555,459.40 × 221,215.52
  4. Step 4: Simplify right side
    402,497.16x = 122,876,240,009.89
  5. Step 5: Solve for x
    x = 122,876,240,009.89/402,497.16
  6. Step 6: Final answer
    x = 305,284.74

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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.