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Finding the Fourth Proportional to 519,159.50, 716,440.11 and 280,695.50

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Solution

The fourth proportional to 519,159.50, 716,440.11 and 280,695.50 is: 387,359.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,159.50 : 716,440.11 = 280,695.50 : x
  2. Step 2: Convert to fraction form
    519,159.50/716,440.11 = 280,695.50/x
  3. Step 3: Cross multiply
    519,159.50x = 716,440.11 × 280,695.50
  4. Step 4: Simplify right side
    519,159.50x = 201,101,514,896.51
  5. Step 5: Solve for x
    x = 201,101,514,896.51/519,159.50
  6. Step 6: Final answer
    x = 387,359.79

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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.