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Finding the Fourth Proportional to 430,276.80, 645,328.80 and 205,636.80

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Solution

The fourth proportional to 430,276.80, 645,328.80 and 205,636.80 is: 308,413.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,276.80 : 645,328.80 = 205,636.80 : x
  2. Step 2: Convert to fraction form
    430,276.80/645,328.80 = 205,636.80/x
  3. Step 3: Cross multiply
    430,276.80x = 645,328.80 × 205,636.80
  4. Step 4: Simplify right side
    430,276.80x = 132,703,349,379.84
  5. Step 5: Solve for x
    x = 132,703,349,379.84/430,276.80
  6. Step 6: Final answer
    x = 308,413.91

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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.