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Finding the Fourth Proportional to 525,153.28, 724,707.84 and 286,689.28

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Solution

The fourth proportional to 525,153.28, 724,707.84 and 286,689.28 is: 395,629.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,153.28 : 724,707.84 = 286,689.28 : x
  2. Step 2: Convert to fraction form
    525,153.28/724,707.84 = 286,689.28/x
  3. Step 3: Cross multiply
    525,153.28x = 724,707.84 × 286,689.28
  4. Step 4: Simplify right side
    525,153.28x = 207,765,968,859.96
  5. Step 5: Solve for x
    x = 207,765,968,859.96/525,153.28
  6. Step 6: Final answer
    x = 395,629.19

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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.