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Finding the Fourth Proportional to 472,152, 708,366.72 and 139,736.64

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Solution

The fourth proportional to 472,152, 708,366.72 and 139,736.64 is: 209,646.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,152 : 708,366.72 = 139,736.64 : x
  2. Step 2: Convert to fraction form
    472,152/708,366.72 = 139,736.64/x
  3. Step 3: Cross multiply
    472,152x = 708,366.72 × 139,736.64
  4. Step 4: Simplify right side
    472,152x = 98,984,785,340.62
  5. Step 5: Solve for x
    x = 98,984,785,340.62/472,152
  6. Step 6: Final answer
    x = 209,646.02

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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.