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Finding the Fourth Proportional to 280,314,471.60, 420,471,707.40 and 165,428,737.20

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Solution

The fourth proportional to 280,314,471.60, 420,471,707.40 and 165,428,737.20 is: 248,143,105.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,314,471.60 : 420,471,707.40 = 165,428,737.20 : x
  2. Step 2: Convert to fraction form
    280,314,471.60/420,471,707.40 = 165,428,737.20/x
  3. Step 3: Cross multiply
    280,314,471.60x = 420,471,707.40 × 165,428,737.20
  4. Step 4: Simplify right side
    280,314,471.60x = 69,558,103,583,509,888
  5. Step 5: Solve for x
    x = 69,558,103,583,509,888/280,314,471.60
  6. Step 6: Final answer
    x = 248,143,105.80

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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.