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Finding the Fourth Proportional to 329,945.88, 494,696.64 and 152,355

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Solution

The fourth proportional to 329,945.88, 494,696.64 and 152,355 is: 228,429.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,945.88 : 494,696.64 = 152,355 : x
  2. Step 2: Convert to fraction form
    329,945.88/494,696.64 = 152,355/x
  3. Step 3: Cross multiply
    329,945.88x = 494,696.64 × 152,355
  4. Step 4: Simplify right side
    329,945.88x = 75,369,506,587.20
  5. Step 5: Solve for x
    x = 75,369,506,587.20/329,945.88
  6. Step 6: Final answer
    x = 228,429.91

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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.