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Finding the Fourth Proportional to 280,759.29, 387,448.83 and 153,434.94

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Solution

The fourth proportional to 280,759.29, 387,448.83 and 153,434.94 is: 211,740.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,759.29 : 387,448.83 = 153,434.94 : x
  2. Step 2: Convert to fraction form
    280,759.29/387,448.83 = 153,434.94/x
  3. Step 3: Cross multiply
    280,759.29x = 387,448.83 × 153,434.94
  4. Step 4: Simplify right side
    280,759.29x = 59,448,187,984.12
  5. Step 5: Solve for x
    x = 59,448,187,984.12/280,759.29
  6. Step 6: Final answer
    x = 211,740.77

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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.