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Finding the Fourth Proportional to 380,391, 570,642.12 and 114,172.56

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Solution

The fourth proportional to 380,391, 570,642.12 and 114,172.56 is: 171,275.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,391 : 570,642.12 = 114,172.56 : x
  2. Step 2: Convert to fraction form
    380,391/570,642.12 = 114,172.56/x
  3. Step 3: Cross multiply
    380,391x = 570,642.12 × 114,172.56
  4. Step 4: Simplify right side
    380,391x = 65,151,671,684.23
  5. Step 5: Solve for x
    x = 65,151,671,684.23/380,391
  6. Step 6: Final answer
    x = 171,275.53

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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.