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Finding the Fourth Proportional to 315,033.81, 434,746.76 and 171,790.17

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Solution

The fourth proportional to 315,033.81, 434,746.76 and 171,790.17 is: 237,070.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,033.81 : 434,746.76 = 171,790.17 : x
  2. Step 2: Convert to fraction form
    315,033.81/434,746.76 = 171,790.17/x
  3. Step 3: Cross multiply
    315,033.81x = 434,746.76 × 171,790.17
  4. Step 4: Simplify right side
    315,033.81x = 74,685,218,948.40
  5. Step 5: Solve for x
    x = 74,685,218,948.40/315,033.81
  6. Step 6: Final answer
    x = 237,070.49

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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.