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Finding the Fourth Proportional to 455,984.99, 684,011.86 and 136,111.59

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Solution

The fourth proportional to 455,984.99, 684,011.86 and 136,111.59 is: 204,177.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,984.99 : 684,011.86 = 136,111.59 : x
  2. Step 2: Convert to fraction form
    455,984.99/684,011.86 = 136,111.59/x
  3. Step 3: Cross multiply
    455,984.99x = 684,011.86 × 136,111.59
  4. Step 4: Simplify right side
    455,984.99x = 93,101,941,503.18
  5. Step 5: Solve for x
    x = 93,101,941,503.18/455,984.99
  6. Step 6: Final answer
    x = 204,177.65

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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.