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Finding the Fourth Proportional to 445,083, 614,214.54 and 243,874.68

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Solution

The fourth proportional to 445,083, 614,214.54 and 243,874.68 is: 336,547.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,083 : 614,214.54 = 243,874.68 : x
  2. Step 2: Convert to fraction form
    445,083/614,214.54 = 243,874.68/x
  3. Step 3: Cross multiply
    445,083x = 614,214.54 × 243,874.68
  4. Step 4: Simplify right side
    445,083x = 149,791,374,393.85
  5. Step 5: Solve for x
    x = 149,791,374,393.85/445,083
  6. Step 6: Final answer
    x = 336,547.06

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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.