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Finding the Fourth Proportional to 402,110.15, 602,246.28 and 191,895.71

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Solution

The fourth proportional to 402,110.15, 602,246.28 and 191,895.71 is: 287,405.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,110.15 : 602,246.28 = 191,895.71 : x
  2. Step 2: Convert to fraction form
    402,110.15/602,246.28 = 191,895.71/x
  3. Step 3: Cross multiply
    402,110.15x = 602,246.28 × 191,895.71
  4. Step 4: Simplify right side
    402,110.15x = 115,568,477,495.46
  5. Step 5: Solve for x
    x = 115,568,477,495.46/402,110.15
  6. Step 6: Final answer
    x = 287,405.02

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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.