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Finding the Fourth Proportional to 551,648, 761,284.32 and 306,655.76

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Solution

The fourth proportional to 551,648, 761,284.32 and 306,655.76 is: 423,190.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,648 : 761,284.32 = 306,655.76 : x
  2. Step 2: Convert to fraction form
    551,648/761,284.32 = 306,655.76/x
  3. Step 3: Cross multiply
    551,648x = 761,284.32 × 306,655.76
  4. Step 4: Simplify right side
    551,648x = 233,452,221,725.68
  5. Step 5: Solve for x
    x = 233,452,221,725.68/551,648
  6. Step 6: Final answer
    x = 423,190.55

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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.