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Finding the Fourth Proportional to 402,429.41, 603,662.57 and 284,626.66

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Solution

The fourth proportional to 402,429.41, 603,662.57 and 284,626.66 is: 426,953.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,429.41 : 603,662.57 = 284,626.66 : x
  2. Step 2: Convert to fraction form
    402,429.41/603,662.57 = 284,626.66/x
  3. Step 3: Cross multiply
    402,429.41x = 603,662.57 × 284,626.66
  4. Step 4: Simplify right side
    402,429.41x = 171,818,461,934.07
  5. Step 5: Solve for x
    x = 171,818,461,934.07/402,429.41
  6. Step 6: Final answer
    x = 426,953.04

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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.