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Finding the Fourth Proportional to 314,769.60, 434,386.80 and 171,529.20

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Solution

The fourth proportional to 314,769.60, 434,386.80 and 171,529.20 is: 236,712.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,769.60 : 434,386.80 = 171,529.20 : x
  2. Step 2: Convert to fraction form
    314,769.60/434,386.80 = 171,529.20/x
  3. Step 3: Cross multiply
    314,769.60x = 434,386.80 × 171,529.20
  4. Step 4: Simplify right side
    314,769.60x = 74,510,020,294.56
  5. Step 5: Solve for x
    x = 74,510,020,294.56/314,769.60
  6. Step 6: Final answer
    x = 236,712.89

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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.