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Finding the Fourth Proportional to 397,859.91, 596,784 and 98,340.51

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Solution

The fourth proportional to 397,859.91, 596,784 and 98,340.51 is: 147,509.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,859.91 : 596,784 = 98,340.51 : x
  2. Step 2: Convert to fraction form
    397,859.91/596,784 = 98,340.51/x
  3. Step 3: Cross multiply
    397,859.91x = 596,784 × 98,340.51
  4. Step 4: Simplify right side
    397,859.91x = 58,688,042,919.84
  5. Step 5: Solve for x
    x = 58,688,042,919.84/397,859.91
  6. Step 6: Final answer
    x = 147,509.32

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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.