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Finding the Fourth Proportional to 385,838.60, 532,457.13 and 213,767.72

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Solution

The fourth proportional to 385,838.60, 532,457.13 and 213,767.72 is: 294,999.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,838.60 : 532,457.13 = 213,767.72 : x
  2. Step 2: Convert to fraction form
    385,838.60/532,457.13 = 213,767.72/x
  3. Step 3: Cross multiply
    385,838.60x = 532,457.13 × 213,767.72
  4. Step 4: Simplify right side
    385,838.60x = 113,822,146,677.84
  5. Step 5: Solve for x
    x = 113,822,146,677.84/385,838.60
  6. Step 6: Final answer
    x = 294,999.38

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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.