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Finding the Fourth Proportional to 314,817.45, 434,435.40 and 171,574.41

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Solution

The fourth proportional to 314,817.45, 434,435.40 and 171,574.41 is: 236,765.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,817.45 : 434,435.40 = 171,574.41 : x
  2. Step 2: Convert to fraction form
    314,817.45/434,435.40 = 171,574.41/x
  3. Step 3: Cross multiply
    314,817.45x = 434,435.40 × 171,574.41
  4. Step 4: Simplify right side
    314,817.45x = 74,537,997,438.11
  5. Step 5: Solve for x
    x = 74,537,997,438.11/314,817.45
  6. Step 6: Final answer
    x = 236,765.77

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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.