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Finding the Fourth Proportional to 514,392.95, 709,854.61 and 284,949.55

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Solution

The fourth proportional to 514,392.95, 709,854.61 and 284,949.55 is: 393,226.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,392.95 : 709,854.61 = 284,949.55 : x
  2. Step 2: Convert to fraction form
    514,392.95/709,854.61 = 284,949.55/x
  3. Step 3: Cross multiply
    514,392.95x = 709,854.61 × 284,949.55
  4. Step 4: Simplify right side
    514,392.95x = 202,272,751,684.93
  5. Step 5: Solve for x
    x = 202,272,751,684.93/514,392.95
  6. Step 6: Final answer
    x = 393,226.14

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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.