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Finding the Fourth Proportional to 525,389.92, 725,055.89 and 310,714.00

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Solution

The fourth proportional to 525,389.92, 725,055.89 and 310,714.00 is: 428,795.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,389.92 : 725,055.89 = 310,714.00 : x
  2. Step 2: Convert to fraction form
    525,389.92/725,055.89 = 310,714.00/x
  3. Step 3: Cross multiply
    525,389.92x = 725,055.89 × 310,714.00
  4. Step 4: Simplify right side
    525,389.92x = 225,285,012,439.25
  5. Step 5: Solve for x
    x = 225,285,012,439.25/525,389.92
  6. Step 6: Final answer
    x = 428,795.84

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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.