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Finding the Fourth Proportional to 559,664.80, 839,497.16 and 138,940.67

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Solution

The fourth proportional to 559,664.80, 839,497.16 and 138,940.67 is: 208,411.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,664.80 : 839,497.16 = 138,940.67 : x
  2. Step 2: Convert to fraction form
    559,664.80/839,497.16 = 138,940.67/x
  3. Step 3: Cross multiply
    559,664.80x = 839,497.16 × 138,940.67
  4. Step 4: Simplify right side
    559,664.80x = 116,640,300,319.59
  5. Step 5: Solve for x
    x = 116,640,300,319.59/559,664.80
  6. Step 6: Final answer
    x = 208,411.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.