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Finding the Fourth Proportional to 627,295.71, 864,085.14 and 506,097.84

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Solution

The fourth proportional to 627,295.71, 864,085.14 and 506,097.84 is: 697,137.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,295.71 : 864,085.14 = 506,097.84 : x
  2. Step 2: Convert to fraction form
    627,295.71/864,085.14 = 506,097.84/x
  3. Step 3: Cross multiply
    627,295.71x = 864,085.14 × 506,097.84
  4. Step 4: Simplify right side
    627,295.71x = 437,311,622,930.10
  5. Step 5: Solve for x
    x = 437,311,622,930.10/627,295.71
  6. Step 6: Final answer
    x = 697,137.91

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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.