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Finding the Fourth Proportional to 371,055.76, 512,057.06 and 209,907.40

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Solution

The fourth proportional to 371,055.76, 512,057.06 and 209,907.40 is: 289,672.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,055.76 : 512,057.06 = 209,907.40 : x
  2. Step 2: Convert to fraction form
    371,055.76/512,057.06 = 209,907.40/x
  3. Step 3: Cross multiply
    371,055.76x = 512,057.06 × 209,907.40
  4. Step 4: Simplify right side
    371,055.76x = 107,484,566,116.24
  5. Step 5: Solve for x
    x = 107,484,566,116.24/371,055.76
  6. Step 6: Final answer
    x = 289,672.27

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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.