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Finding the Fourth Proportional to 430,323.83, 645,478.44 and 149,833.79

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Solution

The fourth proportional to 430,323.83, 645,478.44 and 149,833.79 is: 224,748.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,323.83 : 645,478.44 = 149,833.79 : x
  2. Step 2: Convert to fraction form
    430,323.83/645,478.44 = 149,833.79/x
  3. Step 3: Cross multiply
    430,323.83x = 645,478.44 × 149,833.79
  4. Step 4: Simplify right side
    430,323.83x = 96,714,477,801.10
  5. Step 5: Solve for x
    x = 96,714,477,801.10/430,323.83
  6. Step 6: Final answer
    x = 224,748.14

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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.