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Finding the Fourth Proportional to 388,347.13, 535,642.91 and 259,220.48

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Solution

The fourth proportional to 388,347.13, 535,642.91 and 259,220.48 is: 357,539.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,347.13 : 535,642.91 = 259,220.48 : x
  2. Step 2: Convert to fraction form
    388,347.13/535,642.91 = 259,220.48/x
  3. Step 3: Cross multiply
    388,347.13x = 535,642.91 × 259,220.48
  4. Step 4: Simplify right side
    388,347.13x = 138,849,612,238.80
  5. Step 5: Solve for x
    x = 138,849,612,238.80/388,347.13
  6. Step 6: Final answer
    x = 357,539.95

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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.