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Finding the Fourth Proportional to 291,215.84, 436,642.40 and 122,649.16

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Solution

The fourth proportional to 291,215.84, 436,642.40 and 122,649.16 is: 183,897.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,215.84 : 436,642.40 = 122,649.16 : x
  2. Step 2: Convert to fraction form
    291,215.84/436,642.40 = 122,649.16/x
  3. Step 3: Cross multiply
    291,215.84x = 436,642.40 × 122,649.16
  4. Step 4: Simplify right side
    291,215.84x = 53,553,823,580.38
  5. Step 5: Solve for x
    x = 53,553,823,580.38/291,215.84
  6. Step 6: Final answer
    x = 183,897.36

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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.