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Finding the Fourth Proportional to 347,898.30, 521,458.65 and 198,210.30

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Solution

The fourth proportional to 347,898.30, 521,458.65 and 198,210.30 is: 297,093.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,898.30 : 521,458.65 = 198,210.30 : x
  2. Step 2: Convert to fraction form
    347,898.30/521,458.65 = 198,210.30/x
  3. Step 3: Cross multiply
    347,898.30x = 521,458.65 × 198,210.30
  4. Step 4: Simplify right side
    347,898.30x = 103,358,475,454.10
  5. Step 5: Solve for x
    x = 103,358,475,454.10/347,898.30
  6. Step 6: Final answer
    x = 297,093.94

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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.