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Finding the Fourth Proportional to 458,590.28, 688,153.32 and 192,328.49

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Solution

The fourth proportional to 458,590.28, 688,153.32 and 192,328.49 is: 288,605.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,590.28 : 688,153.32 = 192,328.49 : x
  2. Step 2: Convert to fraction form
    458,590.28/688,153.32 = 192,328.49/x
  3. Step 3: Cross multiply
    458,590.28x = 688,153.32 × 192,328.49
  4. Step 4: Simplify right side
    458,590.28x = 132,351,490,644.47
  5. Step 5: Solve for x
    x = 132,351,490,644.47/458,590.28
  6. Step 6: Final answer
    x = 288,605.10

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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.