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Finding the Fourth Proportional to 519,589.49, 716,970.22 and 290,159.52

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Solution

The fourth proportional to 519,589.49, 716,970.22 and 290,159.52 is: 400,384.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,589.49 : 716,970.22 = 290,159.52 : x
  2. Step 2: Convert to fraction form
    519,589.49/716,970.22 = 290,159.52/x
  3. Step 3: Cross multiply
    519,589.49x = 716,970.22 × 290,159.52
  4. Step 4: Simplify right side
    519,589.49x = 208,035,731,475.46
  5. Step 5: Solve for x
    x = 208,035,731,475.46/519,589.49
  6. Step 6: Final answer
    x = 400,384.80

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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.