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Finding the Fourth Proportional to 385,866, 532,495.26 and 216,100.17

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Solution

The fourth proportional to 385,866, 532,495.26 and 216,100.17 is: 298,218.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,866 : 532,495.26 = 216,100.17 : x
  2. Step 2: Convert to fraction form
    385,866/532,495.26 = 216,100.17/x
  3. Step 3: Cross multiply
    385,866x = 532,495.26 × 216,100.17
  4. Step 4: Simplify right side
    385,866x = 115,072,316,210.19
  5. Step 5: Solve for x
    x = 115,072,316,210.19/385,866
  6. Step 6: Final answer
    x = 298,218.34

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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.