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Finding the Fourth Proportional to 430,999.80, 645,624.90 and 243,792.60

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Solution

The fourth proportional to 430,999.80, 645,624.90 and 243,792.60 is: 365,194.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,999.80 : 645,624.90 = 243,792.60 : x
  2. Step 2: Convert to fraction form
    430,999.80/645,624.90 = 243,792.60/x
  3. Step 3: Cross multiply
    430,999.80x = 645,624.90 × 243,792.60
  4. Step 4: Simplify right side
    430,999.80x = 157,398,572,995.74
  5. Step 5: Solve for x
    x = 157,398,572,995.74/430,999.80
  6. Step 6: Final answer
    x = 365,194.07

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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.