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Finding the Fourth Proportional to 359,322.40, 538,940.40 and 148,938.40

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Solution

The fourth proportional to 359,322.40, 538,940.40 and 148,938.40 is: 223,389.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,322.40 : 538,940.40 = 148,938.40 : x
  2. Step 2: Convert to fraction form
    359,322.40/538,940.40 = 148,938.40/x
  3. Step 3: Cross multiply
    359,322.40x = 538,940.40 × 148,938.40
  4. Step 4: Simplify right side
    359,322.40x = 80,268,920,871.36
  5. Step 5: Solve for x
    x = 80,268,920,871.36/359,322.40
  6. Step 6: Final answer
    x = 223,389.69

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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.