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Finding the Fourth Proportional to 517,716.90, 776,113.65 and 202,100.40

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Solution

The fourth proportional to 517,716.90, 776,113.65 and 202,100.40 is: 302,970.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,716.90 : 776,113.65 = 202,100.40 : x
  2. Step 2: Convert to fraction form
    517,716.90/776,113.65 = 202,100.40/x
  3. Step 3: Cross multiply
    517,716.90x = 776,113.65 × 202,100.40
  4. Step 4: Simplify right side
    517,716.90x = 156,852,879,110.46
  5. Step 5: Solve for x
    x = 156,852,879,110.46/517,716.90
  6. Step 6: Final answer
    x = 302,970.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.