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Finding the Fourth Proportional to 525,744, 725,407.92 and 310,893.12

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Solution

The fourth proportional to 525,744, 725,407.92 and 310,893.12 is: 428,962.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,744 : 725,407.92 = 310,893.12 : x
  2. Step 2: Convert to fraction form
    525,744/725,407.92 = 310,893.12/x
  3. Step 3: Cross multiply
    525,744x = 725,407.92 × 310,893.12
  4. Step 4: Simplify right side
    525,744x = 225,524,331,521.51
  5. Step 5: Solve for x
    x = 225,524,331,521.51/525,744
  6. Step 6: Final answer
    x = 428,962.25

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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.