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Finding the Fourth Proportional to 450,503.42, 621,696.47 and 289,359.86

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Solution

The fourth proportional to 450,503.42, 621,696.47 and 289,359.86 is: 399,317.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,503.42 : 621,696.47 = 289,359.86 : x
  2. Step 2: Convert to fraction form
    450,503.42/621,696.47 = 289,359.86/x
  3. Step 3: Cross multiply
    450,503.42x = 621,696.47 × 289,359.86
  4. Step 4: Simplify right side
    450,503.42x = 179,893,998,966.41
  5. Step 5: Solve for x
    x = 179,893,998,966.41/450,503.42
  6. Step 6: Final answer
    x = 399,317.73

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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.