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Finding the Fourth Proportional to 380,316.65, 570,761.91 and 260,086.32

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Solution

The fourth proportional to 380,316.65, 570,761.91 and 260,086.32 is: 390,325.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,316.65 : 570,761.91 = 260,086.32 : x
  2. Step 2: Convert to fraction form
    380,316.65/570,761.91 = 260,086.32/x
  3. Step 3: Cross multiply
    380,316.65x = 570,761.91 × 260,086.32
  4. Step 4: Simplify right side
    380,316.65x = 148,447,364,768.07
  5. Step 5: Solve for x
    x = 148,447,364,768.07/380,316.65
  6. Step 6: Final answer
    x = 390,325.71

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1.5x scale

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.