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Finding the Fourth Proportional to 401,432.97, 553,978.27 and 220,146.18

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Solution

The fourth proportional to 401,432.97, 553,978.27 and 220,146.18 is: 303,802.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,432.97 : 553,978.27 = 220,146.18 : x
  2. Step 2: Convert to fraction form
    401,432.97/553,978.27 = 220,146.18/x
  3. Step 3: Cross multiply
    401,432.97x = 553,978.27 × 220,146.18
  4. Step 4: Simplify right side
    401,432.97x = 121,956,199,943.51
  5. Step 5: Solve for x
    x = 121,956,199,943.51/401,432.97
  6. Step 6: Final answer
    x = 303,802.15

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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.