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Finding the Fourth Proportional to 300,056.40, 414,117 and 172,737.36

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Solution

The fourth proportional to 300,056.40, 414,117 and 172,737.36 is: 238,400.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,056.40 : 414,117 = 172,737.36 : x
  2. Step 2: Convert to fraction form
    300,056.40/414,117 = 172,737.36/x
  3. Step 3: Cross multiply
    300,056.40x = 414,117 × 172,737.36
  4. Step 4: Simplify right side
    300,056.40x = 71,533,477,311.12
  5. Step 5: Solve for x
    x = 71,533,477,311.12/300,056.40
  6. Step 6: Final answer
    x = 238,400.11

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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.