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Finding the Fourth Proportional to 380,322.66, 570,770.91 and 260,092.32

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Solution

The fourth proportional to 380,322.66, 570,770.91 and 260,092.32 is: 390,334.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,322.66 : 570,770.91 = 260,092.32 : x
  2. Step 2: Convert to fraction form
    380,322.66/570,770.91 = 260,092.32/x
  3. Step 3: Cross multiply
    380,322.66x = 570,770.91 × 260,092.32
  4. Step 4: Simplify right side
    380,322.66x = 148,453,130,170.41
  5. Step 5: Solve for x
    x = 148,453,130,170.41/380,322.66
  6. Step 6: Final answer
    x = 390,334.70

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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.