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Finding the Fourth Proportional to 430,303.70, 645,448.25 and 149,813.66

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Solution

The fourth proportional to 430,303.70, 645,448.25 and 149,813.66 is: 224,717.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,303.70 : 645,448.25 = 149,813.66 : x
  2. Step 2: Convert to fraction form
    430,303.70/645,448.25 = 149,813.66/x
  3. Step 3: Cross multiply
    430,303.70x = 645,448.25 × 149,813.66
  4. Step 4: Simplify right side
    430,303.70x = 96,696,961,445.85
  5. Step 5: Solve for x
    x = 96,696,961,445.85/430,303.70
  6. Step 6: Final answer
    x = 224,717.94

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1.5x scale

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.