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Finding the Fourth Proportional to 359,558.40, 496,289.28 and 208,704

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Solution

The fourth proportional to 359,558.40, 496,289.28 and 208,704 is: 288,068.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,558.40 : 496,289.28 = 208,704 : x
  2. Step 2: Convert to fraction form
    359,558.40/496,289.28 = 208,704/x
  3. Step 3: Cross multiply
    359,558.40x = 496,289.28 × 208,704
  4. Step 4: Simplify right side
    359,558.40x = 103,577,557,893.12
  5. Step 5: Solve for x
    x = 103,577,557,893.12/359,558.40
  6. Step 6: Final answer
    x = 288,068.80

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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.