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Finding the Fourth Proportional to 430,436.64, 645,658.20 and 149,953.44

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Solution

The fourth proportional to 430,436.64, 645,658.20 and 149,953.44 is: 224,931.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,436.64 : 645,658.20 = 149,953.44 : x
  2. Step 2: Convert to fraction form
    430,436.64/645,658.20 = 149,953.44/x
  3. Step 3: Cross multiply
    430,436.64x = 645,658.20 × 149,953.44
  4. Step 4: Simplify right side
    430,436.64x = 96,818,668,154.21
  5. Step 5: Solve for x
    x = 96,818,668,154.21/430,436.64
  6. Step 6: Final answer
    x = 224,931.29

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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.