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Finding the Fourth Proportional to 635,709.81, 877,275.36 and 345,318.74

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Solution

The fourth proportional to 635,709.81, 877,275.36 and 345,318.74 is: 476,537.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,709.81 : 877,275.36 = 345,318.74 : x
  2. Step 2: Convert to fraction form
    635,709.81/877,275.36 = 345,318.74/x
  3. Step 3: Cross multiply
    635,709.81x = 877,275.36 × 345,318.74
  4. Step 4: Simplify right side
    635,709.81x = 302,939,617,561.87
  5. Step 5: Solve for x
    x = 302,939,617,561.87/635,709.81
  6. Step 6: Final answer
    x = 476,537.58

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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.