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Finding the Fourth Proportional to 315,011.16, 434,707.56 and 171,774

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Solution

The fourth proportional to 315,011.16, 434,707.56 and 171,774 is: 237,043.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,011.16 : 434,707.56 = 171,774 : x
  2. Step 2: Convert to fraction form
    315,011.16/434,707.56 = 171,774/x
  3. Step 3: Cross multiply
    315,011.16x = 434,707.56 × 171,774
  4. Step 4: Simplify right side
    315,011.16x = 74,671,456,411.44
  5. Step 5: Solve for x
    x = 74,671,456,411.44/315,011.16
  6. Step 6: Final answer
    x = 237,043.84

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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.