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Finding the Fourth Proportional to 359,856, 539,784 and 97,200

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Solution

The fourth proportional to 359,856, 539,784 and 97,200 is: 145,800

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,856 : 539,784 = 97,200 : x
  2. Step 2: Convert to fraction form
    359,856/539,784 = 97,200/x
  3. Step 3: Cross multiply
    359,856x = 539,784 × 97,200
  4. Step 4: Simplify right side
    359,856x = 52,467,004,800
  5. Step 5: Solve for x
    x = 52,467,004,800/359,856
  6. Step 6: Final answer
    x = 145,800

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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.