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Finding the Fourth Proportional to 401,133.98, 553,569.14 and 219,841.90

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Solution

The fourth proportional to 401,133.98, 553,569.14 and 219,841.90 is: 303,384.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,133.98 : 553,569.14 = 219,841.90 : x
  2. Step 2: Convert to fraction form
    401,133.98/553,569.14 = 219,841.90/x
  3. Step 3: Cross multiply
    401,133.98x = 553,569.14 × 219,841.90
  4. Step 4: Simplify right side
    401,133.98x = 121,697,691,518.97
  5. Step 5: Solve for x
    x = 121,697,691,518.97/401,133.98
  6. Step 6: Final answer
    x = 303,384.15

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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.