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Finding the Fourth Proportional to 709,642.26, 979,160.13 and 407,777.94

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Solution

The fourth proportional to 709,642.26, 979,160.13 and 407,777.94 is: 562,649.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,642.26 : 979,160.13 = 407,777.94 : x
  2. Step 2: Convert to fraction form
    709,642.26/979,160.13 = 407,777.94/x
  3. Step 3: Cross multiply
    709,642.26x = 979,160.13 × 407,777.94
  4. Step 4: Simplify right side
    709,642.26x = 399,279,900,741.53
  5. Step 5: Solve for x
    x = 399,279,900,741.53/709,642.26
  6. Step 6: Final answer
    x = 562,649.55

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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.