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Finding the Fourth Proportional to 314,589.76, 434,127.84 and 171,348.16

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Solution

The fourth proportional to 314,589.76, 434,127.84 and 171,348.16 is: 236,457.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,589.76 : 434,127.84 = 171,348.16 : x
  2. Step 2: Convert to fraction form
    314,589.76/434,127.84 = 171,348.16/x
  3. Step 3: Cross multiply
    314,589.76x = 434,127.84 × 171,348.16
  4. Step 4: Simplify right side
    314,589.76x = 74,387,006,588.77
  5. Step 5: Solve for x
    x = 74,387,006,588.77/314,589.76
  6. Step 6: Final answer
    x = 236,457.18

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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.