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Finding the Fourth Proportional to 519,150.66, 716,426.57 and 289,705.50

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Solution

The fourth proportional to 519,150.66, 716,426.57 and 289,705.50 is: 399,792.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,150.66 : 716,426.57 = 289,705.50 : x
  2. Step 2: Convert to fraction form
    519,150.66/716,426.57 = 289,705.50/x
  3. Step 3: Cross multiply
    519,150.66x = 716,426.57 × 289,705.50
  4. Step 4: Simplify right side
    519,150.66x = 207,552,717,675.14
  5. Step 5: Solve for x
    x = 207,552,717,675.14/519,150.66
  6. Step 6: Final answer
    x = 399,792.84

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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.