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Finding the Fourth Proportional to 553,374.82, 763,649.13 and 311,657.86

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Solution

The fourth proportional to 553,374.82, 763,649.13 and 311,657.86 is: 430,083.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,374.82 : 763,649.13 = 311,657.86 : x
  2. Step 2: Convert to fraction form
    553,374.82/763,649.13 = 311,657.86/x
  3. Step 3: Cross multiply
    553,374.82x = 763,649.13 × 311,657.86
  4. Step 4: Simplify right side
    553,374.82x = 237,997,253,646.66
  5. Step 5: Solve for x
    x = 237,997,253,646.66/553,374.82
  6. Step 6: Final answer
    x = 430,083.27

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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.