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Finding the Fourth Proportional to 659,203.06, 909,718.14 and 372,766

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Solution

The fourth proportional to 659,203.06, 909,718.14 and 372,766 is: 514,427.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,203.06 : 909,718.14 = 372,766 : x
  2. Step 2: Convert to fraction form
    659,203.06/909,718.14 = 372,766/x
  3. Step 3: Cross multiply
    659,203.06x = 909,718.14 × 372,766
  4. Step 4: Simplify right side
    659,203.06x = 339,111,992,175.24
  5. Step 5: Solve for x
    x = 339,111,992,175.24/659,203.06
  6. Step 6: Final answer
    x = 514,427.21

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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.