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Finding the Fourth Proportional to 314,876.16, 434,541.24 and 171,644.40

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Solution

The fourth proportional to 314,876.16, 434,541.24 and 171,644.40 is: 236,875.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,876.16 : 434,541.24 = 171,644.40 : x
  2. Step 2: Convert to fraction form
    314,876.16/434,541.24 = 171,644.40/x
  3. Step 3: Cross multiply
    314,876.16x = 434,541.24 × 171,644.40
  4. Step 4: Simplify right side
    314,876.16x = 74,586,570,415.06
  5. Step 5: Solve for x
    x = 74,586,570,415.06/314,876.16
  6. Step 6: Final answer
    x = 236,875.89

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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.