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Finding the Fourth Proportional to 404,098,199.04, 605,958,848.64 and 209,957,422.08

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Solution

The fourth proportional to 404,098,199.04, 605,958,848.64 and 209,957,422.08 is: 314,838,220.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,098,199.04 : 605,958,848.64 = 209,957,422.08 : x
  2. Step 2: Convert to fraction form
    404,098,199.04/605,958,848.64 = 209,957,422.08/x
  3. Step 3: Cross multiply
    404,098,199.04x = 605,958,848.64 × 209,957,422.08
  4. Step 4: Simplify right side
    404,098,199.04x = 127,225,557,747,019,312
  5. Step 5: Solve for x
    x = 127,225,557,747,019,312/404,098,199.04
  6. Step 6: Final answer
    x = 314,838,220.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.