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Finding the Fourth Proportional to 230,509, 345,899.58 and 97,380.64

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Solution

The fourth proportional to 230,509, 345,899.58 and 97,380.64 is: 146,128.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,509 : 345,899.58 = 97,380.64 : x
  2. Step 2: Convert to fraction form
    230,509/345,899.58 = 97,380.64/x
  3. Step 3: Cross multiply
    230,509x = 345,899.58 × 97,380.64
  4. Step 4: Simplify right side
    230,509x = 33,683,922,476.13
  5. Step 5: Solve for x
    x = 33,683,922,476.13/230,509
  6. Step 6: Final answer
    x = 146,128.45

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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.