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Finding the Fourth Proportional to 369,866.17, 510,252.78 and 216,826.66

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Solution

The fourth proportional to 369,866.17, 510,252.78 and 216,826.66 is: 299,125.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,866.17 : 510,252.78 = 216,826.66 : x
  2. Step 2: Convert to fraction form
    369,866.17/510,252.78 = 216,826.66/x
  3. Step 3: Cross multiply
    369,866.17x = 510,252.78 × 216,826.66
  4. Step 4: Simplify right side
    369,866.17x = 110,636,406,043.12
  5. Step 5: Solve for x
    x = 110,636,406,043.12/369,866.17
  6. Step 6: Final answer
    x = 299,125.51

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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.