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Finding the Fourth Proportional to 947,638, 1,421,703.24 and 282,790

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Solution

The fourth proportional to 947,638, 1,421,703.24 and 282,790 is: 424,258.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,638 : 1,421,703.24 = 282,790 : x
  2. Step 2: Convert to fraction form
    947,638/1,421,703.24 = 282,790/x
  3. Step 3: Cross multiply
    947,638x = 1,421,703.24 × 282,790
  4. Step 4: Simplify right side
    947,638x = 402,043,459,239.60
  5. Step 5: Solve for x
    x = 402,043,459,239.60/947,638
  6. Step 6: Final answer
    x = 424,258.48

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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.