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Finding the Fourth Proportional to 456,117.70, 684,322.35 and 156,790.30

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Solution

The fourth proportional to 456,117.70, 684,322.35 and 156,790.30 is: 235,235.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,117.70 : 684,322.35 = 156,790.30 : x
  2. Step 2: Convert to fraction form
    456,117.70/684,322.35 = 156,790.30/x
  3. Step 3: Cross multiply
    456,117.70x = 684,322.35 × 156,790.30
  4. Step 4: Simplify right side
    456,117.70x = 107,295,106,553.21
  5. Step 5: Solve for x
    x = 107,295,106,553.21/456,117.70
  6. Step 6: Final answer
    x = 235,235.57

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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.