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Finding the Fourth Proportional to 385,425.90, 531,824.29 and 242,083.84

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Solution

The fourth proportional to 385,425.90, 531,824.29 and 242,083.84 is: 334,035.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,425.90 : 531,824.29 = 242,083.84 : x
  2. Step 2: Convert to fraction form
    385,425.90/531,824.29 = 242,083.84/x
  3. Step 3: Cross multiply
    385,425.90x = 531,824.29 × 242,083.84
  4. Step 4: Simplify right side
    385,425.90x = 128,746,066,328.47
  5. Step 5: Solve for x
    x = 128,746,066,328.47/385,425.90
  6. Step 6: Final answer
    x = 334,035.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.