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Finding the Fourth Proportional to 525,243.71, 724,806.59 and 310,403.77

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Solution

The fourth proportional to 525,243.71, 724,806.59 and 310,403.77 is: 428,339.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,243.71 : 724,806.59 = 310,403.77 : x
  2. Step 2: Convert to fraction form
    525,243.71/724,806.59 = 310,403.77/x
  3. Step 3: Cross multiply
    525,243.71x = 724,806.59 × 310,403.77
  4. Step 4: Simplify right side
    525,243.71x = 224,982,694,692.81
  5. Step 5: Solve for x
    x = 224,982,694,692.81/525,243.71
  6. Step 6: Final answer
    x = 428,339.62

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1.5x scale

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.