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Finding the Fourth Proportional to 430,403.46, 645,678.72 and 177,545.72

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Solution

The fourth proportional to 430,403.46, 645,678.72 and 177,545.72 is: 266,348.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,403.46 : 645,678.72 = 177,545.72 : x
  2. Step 2: Convert to fraction form
    430,403.46/645,678.72 = 177,545.72/x
  3. Step 3: Cross multiply
    430,403.46x = 645,678.72 × 177,545.72
  4. Step 4: Simplify right side
    430,403.46x = 114,637,493,231.08
  5. Step 5: Solve for x
    x = 114,637,493,231.08/430,403.46
  6. Step 6: Final answer
    x = 266,348.91

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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.