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Finding the Fourth Proportional to 525,771.32, 725,598.54 and 305,053.83

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Solution

The fourth proportional to 525,771.32, 725,598.54 and 305,053.83 is: 420,994.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,771.32 : 725,598.54 = 305,053.83 : x
  2. Step 2: Convert to fraction form
    525,771.32/725,598.54 = 305,053.83/x
  3. Step 3: Cross multiply
    525,771.32x = 725,598.54 × 305,053.83
  4. Step 4: Simplify right side
    525,771.32x = 221,346,613,669.41
  5. Step 5: Solve for x
    x = 221,346,613,669.41/525,771.32
  6. Step 6: Final answer
    x = 420,994.08

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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.