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Finding the Fourth Proportional to 280,596.94, 387,223.76 and 151,535.40

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Solution

The fourth proportional to 280,596.94, 387,223.76 and 151,535.40 is: 209,118.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,596.94 : 387,223.76 = 151,535.40 : x
  2. Step 2: Convert to fraction form
    280,596.94/387,223.76 = 151,535.40/x
  3. Step 3: Cross multiply
    280,596.94x = 387,223.76 × 151,535.40
  4. Step 4: Simplify right side
    280,596.94x = 58,678,108,102.96
  5. Step 5: Solve for x
    x = 58,678,108,102.96/280,596.94
  6. Step 6: Final answer
    x = 209,118.85

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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.