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Finding the Fourth Proportional to 455,221.48, 684,328.02 and 422,338.72

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Solution

The fourth proportional to 455,221.48, 684,328.02 and 422,338.72 is: 634,895.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,221.48 : 684,328.02 = 422,338.72 : x
  2. Step 2: Convert to fraction form
    455,221.48/684,328.02 = 422,338.72/x
  3. Step 3: Cross multiply
    455,221.48x = 684,328.02 × 422,338.72
  4. Step 4: Simplify right side
    455,221.48x = 289,018,220,026.93
  5. Step 5: Solve for x
    x = 289,018,220,026.93/455,221.48
  6. Step 6: Final answer
    x = 634,895.83

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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.