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Finding the Fourth Proportional to 234,457.40, 323,551.39 and 137,642.30

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Solution

The fourth proportional to 234,457.40, 323,551.39 and 137,642.30 is: 189,946.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,457.40 : 323,551.39 = 137,642.30 : x
  2. Step 2: Convert to fraction form
    234,457.40/323,551.39 = 137,642.30/x
  3. Step 3: Cross multiply
    234,457.40x = 323,551.39 × 137,642.30
  4. Step 4: Simplify right side
    234,457.40x = 44,534,355,525.93
  5. Step 5: Solve for x
    x = 44,534,355,525.93/234,457.40
  6. Step 6: Final answer
    x = 189,946.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.