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Finding the Fourth Proportional to 489,219.10, 733,828.65 and 421,567.90

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Solution

The fourth proportional to 489,219.10, 733,828.65 and 421,567.90 is: 632,351.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,219.10 : 733,828.65 = 421,567.90 : x
  2. Step 2: Convert to fraction form
    489,219.10/733,828.65 = 421,567.90/x
  3. Step 3: Cross multiply
    489,219.10x = 733,828.65 × 421,567.90
  4. Step 4: Simplify right side
    489,219.10x = 309,358,602,940.34
  5. Step 5: Solve for x
    x = 309,358,602,940.34/489,219.10
  6. Step 6: Final answer
    x = 632,351.85

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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.