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Finding the Fourth Proportional to 284,205.68, 392,206.56 and 156,878.54

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Solution

The fourth proportional to 284,205.68, 392,206.56 and 156,878.54 is: 216,493.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,205.68 : 392,206.56 = 156,878.54 : x
  2. Step 2: Convert to fraction form
    284,205.68/392,206.56 = 156,878.54/x
  3. Step 3: Cross multiply
    284,205.68x = 392,206.56 × 156,878.54
  4. Step 4: Simplify right side
    284,205.68x = 61,528,792,511.22
  5. Step 5: Solve for x
    x = 61,528,792,511.22/284,205.68
  6. Step 6: Final answer
    x = 216,493.89

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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.