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Finding the Fourth Proportional to 640,117.53, 960,434.49 and 284,888.58

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Solution

The fourth proportional to 640,117.53, 960,434.49 and 284,888.58 is: 427,447.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,117.53 : 960,434.49 = 284,888.58 : x
  2. Step 2: Convert to fraction form
    640,117.53/960,434.49 = 284,888.58/x
  3. Step 3: Cross multiply
    640,117.53x = 960,434.49 × 284,888.58
  4. Step 4: Simplify right side
    640,117.53x = 273,616,818,039.12
  5. Step 5: Solve for x
    x = 273,616,818,039.12/640,117.53
  6. Step 6: Final answer
    x = 427,447.78

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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.