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Finding the Fourth Proportional to 380,171, 570,234.36 and 99,688.16

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Solution

The fourth proportional to 380,171, 570,234.36 and 99,688.16 is: 149,526.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,171 : 570,234.36 = 99,688.16 : x
  2. Step 2: Convert to fraction form
    380,171/570,234.36 = 99,688.16/x
  3. Step 3: Cross multiply
    380,171x = 570,234.36 × 99,688.16
  4. Step 4: Simplify right side
    380,171x = 56,845,614,117.18
  5. Step 5: Solve for x
    x = 56,845,614,117.18/380,171
  6. Step 6: Final answer
    x = 149,526.43

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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.