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Finding the Fourth Proportional to 551,006, 760,327.44 and 309,233.12

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Solution

The fourth proportional to 551,006, 760,327.44 and 309,233.12 is: 426,707.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,006 : 760,327.44 = 309,233.12 : x
  2. Step 2: Convert to fraction form
    551,006/760,327.44 = 309,233.12/x
  3. Step 3: Cross multiply
    551,006x = 760,327.44 × 309,233.12
  4. Step 4: Simplify right side
    551,006x = 235,118,426,492.81
  5. Step 5: Solve for x
    x = 235,118,426,492.81/551,006
  6. Step 6: Final answer
    x = 426,707.56

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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.