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Finding the Fourth Proportional to 522,658.80, 783,836.55 and 219,045.02

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Solution

The fourth proportional to 522,658.80, 783,836.55 and 219,045.02 is: 328,503.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,658.80 : 783,836.55 = 219,045.02 : x
  2. Step 2: Convert to fraction form
    522,658.80/783,836.55 = 219,045.02/x
  3. Step 3: Cross multiply
    522,658.80x = 783,836.55 × 219,045.02
  4. Step 4: Simplify right side
    522,658.80x = 171,695,495,709.02
  5. Step 5: Solve for x
    x = 171,695,495,709.02/522,658.80
  6. Step 6: Final answer
    x = 328,503.98

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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.