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Finding the Fourth Proportional to 519,152.66, 716,429.33 and 289,707.50

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Solution

The fourth proportional to 519,152.66, 716,429.33 and 289,707.50 is: 399,795.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,152.66 : 716,429.33 = 289,707.50 : x
  2. Step 2: Convert to fraction form
    519,152.66/716,429.33 = 289,707.50/x
  3. Step 3: Cross multiply
    519,152.66x = 716,429.33 × 289,707.50
  4. Step 4: Simplify right side
    519,152.66x = 207,554,950,120.98
  5. Step 5: Solve for x
    x = 207,554,950,120.98/519,152.66
  6. Step 6: Final answer
    x = 399,795.60

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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.