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Finding the Fourth Proportional to 359,444.40, 538,907.40 and 201,721.20

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Solution

The fourth proportional to 359,444.40, 538,907.40 and 201,721.20 is: 302,436.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,444.40 : 538,907.40 = 201,721.20 : x
  2. Step 2: Convert to fraction form
    359,444.40/538,907.40 = 201,721.20/x
  3. Step 3: Cross multiply
    359,444.40x = 538,907.40 × 201,721.20
  4. Step 4: Simplify right side
    359,444.40x = 108,709,047,416.88
  5. Step 5: Solve for x
    x = 108,709,047,416.88/359,444.40
  6. Step 6: Final answer
    x = 302,436.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.