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Finding the Fourth Proportional to 430,498.88, 645,752.16 and 150,015.68

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Solution

The fourth proportional to 430,498.88, 645,752.16 and 150,015.68 is: 225,024.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,498.88 : 645,752.16 = 150,015.68 : x
  2. Step 2: Convert to fraction form
    430,498.88/645,752.16 = 150,015.68/x
  3. Step 3: Cross multiply
    430,498.88x = 645,752.16 × 150,015.68
  4. Step 4: Simplify right side
    430,498.88x = 96,872,949,393.87
  5. Step 5: Solve for x
    x = 96,872,949,393.87/430,498.88
  6. Step 6: Final answer
    x = 225,024.86

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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.