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Finding the Fourth Proportional to 415,637.22, 623,262.06 and 215,904

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Solution

The fourth proportional to 415,637.22, 623,262.06 and 215,904 is: 323,755.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,637.22 : 623,262.06 = 215,904 : x
  2. Step 2: Convert to fraction form
    415,637.22/623,262.06 = 215,904/x
  3. Step 3: Cross multiply
    415,637.22x = 623,262.06 × 215,904
  4. Step 4: Simplify right side
    415,637.22x = 134,564,771,802.24
  5. Step 5: Solve for x
    x = 134,564,771,802.24/415,637.22
  6. Step 6: Final answer
    x = 323,755.35

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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.