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Finding the Fourth Proportional to 345,295.71, 476,532 and 209,335.32

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Solution

The fourth proportional to 345,295.71, 476,532 and 209,335.32 is: 288,897.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,295.71 : 476,532 = 209,335.32 : x
  2. Step 2: Convert to fraction form
    345,295.71/476,532 = 209,335.32/x
  3. Step 3: Cross multiply
    345,295.71x = 476,532 × 209,335.32
  4. Step 4: Simplify right side
    345,295.71x = 99,754,978,710.24
  5. Step 5: Solve for x
    x = 99,754,978,710.24/345,295.71
  6. Step 6: Final answer
    x = 288,897.24

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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.