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Finding the Fourth Proportional to 600,643.89, 900,965.25 and 201,284.91

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Solution

The fourth proportional to 600,643.89, 900,965.25 and 201,284.91 is: 301,927.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,643.89 : 900,965.25 = 201,284.91 : x
  2. Step 2: Convert to fraction form
    600,643.89/900,965.25 = 201,284.91/x
  3. Step 3: Cross multiply
    600,643.89x = 900,965.25 × 201,284.91
  4. Step 4: Simplify right side
    600,643.89x = 181,350,709,259.38
  5. Step 5: Solve for x
    x = 181,350,709,259.38/600,643.89
  6. Step 6: Final answer
    x = 301,927.17

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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.