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Finding the Fourth Proportional to 314,677.45, 434,253.58 and 171,437.05

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Solution

The fourth proportional to 314,677.45, 434,253.58 and 171,437.05 is: 236,582.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,677.45 : 434,253.58 = 171,437.05 : x
  2. Step 2: Convert to fraction form
    314,677.45/434,253.58 = 171,437.05/x
  3. Step 3: Cross multiply
    314,677.45x = 434,253.58 × 171,437.05
  4. Step 4: Simplify right side
    314,677.45x = 74,447,152,707.14
  5. Step 5: Solve for x
    x = 74,447,152,707.14/314,677.45
  6. Step 6: Final answer
    x = 236,582.42

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1.5x scale

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.