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Finding the Fourth Proportional to 288,040.16, 397,495.32 and 160,715.72

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Solution

The fourth proportional to 288,040.16, 397,495.32 and 160,715.72 is: 221,787.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,040.16 : 397,495.32 = 160,715.72 : x
  2. Step 2: Convert to fraction form
    288,040.16/397,495.32 = 160,715.72/x
  3. Step 3: Cross multiply
    288,040.16x = 397,495.32 × 160,715.72
  4. Step 4: Simplify right side
    288,040.16x = 63,883,746,550.43
  5. Step 5: Solve for x
    x = 63,883,746,550.43/288,040.16
  6. Step 6: Final answer
    x = 221,787.64

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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.