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Finding the Fourth Proportional to 271,700.80, 407,858.40 and 209,646.40

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Solution

The fourth proportional to 271,700.80, 407,858.40 and 209,646.40 is: 314,706.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,700.80 : 407,858.40 = 209,646.40 : x
  2. Step 2: Convert to fraction form
    271,700.80/407,858.40 = 209,646.40/x
  3. Step 3: Cross multiply
    271,700.80x = 407,858.40 × 209,646.40
  4. Step 4: Simplify right side
    271,700.80x = 85,506,045,269.76
  5. Step 5: Solve for x
    x = 85,506,045,269.76/271,700.80
  6. Step 6: Final answer
    x = 314,706.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.