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Finding the Fourth Proportional to 525,012.81, 724,480.05 and 295,558.20

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Solution

The fourth proportional to 525,012.81, 724,480.05 and 295,558.20 is: 407,849.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,012.81 : 724,480.05 = 295,558.20 : x
  2. Step 2: Convert to fraction form
    525,012.81/724,480.05 = 295,558.20/x
  3. Step 3: Cross multiply
    525,012.81x = 724,480.05 × 295,558.20
  4. Step 4: Simplify right side
    525,012.81x = 214,126,019,513.91
  5. Step 5: Solve for x
    x = 214,126,019,513.91/525,012.81
  6. Step 6: Final answer
    x = 407,849.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.