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Finding the Fourth Proportional to 406,390.40, 560,765.62 and 234,314.81

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Solution

The fourth proportional to 406,390.40, 560,765.62 and 234,314.81 is: 323,323.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,390.40 : 560,765.62 = 234,314.81 : x
  2. Step 2: Convert to fraction form
    406,390.40/560,765.62 = 234,314.81/x
  3. Step 3: Cross multiply
    406,390.40x = 560,765.62 × 234,314.81
  4. Step 4: Simplify right side
    406,390.40x = 131,395,689,704.83
  5. Step 5: Solve for x
    x = 131,395,689,704.83/406,390.40
  6. Step 6: Final answer
    x = 323,323.80

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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.