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Finding the Fourth Proportional to 402,152.51, 603,228.25 and 102,633.09

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Solution

The fourth proportional to 402,152.51, 603,228.25 and 102,633.09 is: 153,949.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,152.51 : 603,228.25 = 102,633.09 : x
  2. Step 2: Convert to fraction form
    402,152.51/603,228.25 = 102,633.09/x
  3. Step 3: Cross multiply
    402,152.51x = 603,228.25 × 102,633.09
  4. Step 4: Simplify right side
    402,152.51x = 61,911,179,272.79
  5. Step 5: Solve for x
    x = 61,911,179,272.79/402,152.51
  6. Step 6: Final answer
    x = 153,949.50

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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.