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Finding the Fourth Proportional to 525,708.09, 725,719.35 and 307,886.46

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Solution

The fourth proportional to 525,708.09, 725,719.35 and 307,886.46 is: 425,025.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,708.09 : 725,719.35 = 307,886.46 : x
  2. Step 2: Convert to fraction form
    525,708.09/725,719.35 = 307,886.46/x
  3. Step 3: Cross multiply
    525,708.09x = 725,719.35 × 307,886.46
  4. Step 4: Simplify right side
    525,708.09x = 223,439,161,625.00
  5. Step 5: Solve for x
    x = 223,439,161,625.00/525,708.09
  6. Step 6: Final answer
    x = 425,025.15

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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.