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Finding the Fourth Proportional to 647,916.84, 894,187.35 and 361,463.58

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Solution

The fourth proportional to 647,916.84, 894,187.35 and 361,463.58 is: 498,854.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,916.84 : 894,187.35 = 361,463.58 : x
  2. Step 2: Convert to fraction form
    647,916.84/894,187.35 = 361,463.58/x
  3. Step 3: Cross multiply
    647,916.84x = 894,187.35 × 361,463.58
  4. Step 4: Simplify right side
    647,916.84x = 323,216,160,721.71
  5. Step 5: Solve for x
    x = 323,216,160,721.71/647,916.84
  6. Step 6: Final answer
    x = 498,854.39

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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.