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Finding the Fourth Proportional to 451,649.81, 621,712.10 and 390,367.84

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Solution

The fourth proportional to 451,649.81, 621,712.10 and 390,367.84 is: 537,355.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,649.81 : 621,712.10 = 390,367.84 : x
  2. Step 2: Convert to fraction form
    451,649.81/621,712.10 = 390,367.84/x
  3. Step 3: Cross multiply
    451,649.81x = 621,712.10 × 390,367.84
  4. Step 4: Simplify right side
    451,649.81x = 242,696,409,578.86
  5. Step 5: Solve for x
    x = 242,696,409,578.86/451,649.81
  6. Step 6: Final answer
    x = 537,355.28

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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.