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Finding the Fourth Proportional to 406,400, 560,702.40 and 263,269.76

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Solution

The fourth proportional to 406,400, 560,702.40 and 263,269.76 is: 363,228.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,400 : 560,702.40 = 263,269.76 : x
  2. Step 2: Convert to fraction form
    406,400/560,702.40 = 263,269.76/x
  3. Step 3: Cross multiply
    406,400x = 560,702.40 × 263,269.76
  4. Step 4: Simplify right side
    406,400x = 147,615,986,279.42
  5. Step 5: Solve for x
    x = 147,615,986,279.42/406,400
  6. Step 6: Final answer
    x = 363,228.31

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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.