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Finding the Fourth Proportional to 649,457.90, 896,295.78 and 377,524.95

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Solution

The fourth proportional to 649,457.90, 896,295.78 and 377,524.95 is: 521,009.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,457.90 : 896,295.78 = 377,524.95 : x
  2. Step 2: Convert to fraction form
    649,457.90/896,295.78 = 377,524.95/x
  3. Step 3: Cross multiply
    649,457.90x = 896,295.78 × 377,524.95
  4. Step 4: Simplify right side
    649,457.90x = 338,374,019,529.71
  5. Step 5: Solve for x
    x = 338,374,019,529.71/649,457.90
  6. Step 6: Final answer
    x = 521,009.94

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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.