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Finding the Fourth Proportional to 359,052.40, 538,578.60 and 209,461.60

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Solution

The fourth proportional to 359,052.40, 538,578.60 and 209,461.60 is: 314,192.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,052.40 : 538,578.60 = 209,461.60 : x
  2. Step 2: Convert to fraction form
    359,052.40/538,578.60 = 209,461.60/x
  3. Step 3: Cross multiply
    359,052.40x = 538,578.60 × 209,461.60
  4. Step 4: Simplify right side
    359,052.40x = 112,811,535,281.76
  5. Step 5: Solve for x
    x = 112,811,535,281.76/359,052.40
  6. Step 6: Final answer
    x = 314,192.40

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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.