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Finding the Fourth Proportional to 525,977.80, 725,852.68 and 284,259.80

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Solution

The fourth proportional to 525,977.80, 725,852.68 and 284,259.80 is: 392,280.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,977.80 : 725,852.68 = 284,259.80 : x
  2. Step 2: Convert to fraction form
    525,977.80/725,852.68 = 284,259.80/x
  3. Step 3: Cross multiply
    525,977.80x = 725,852.68 × 284,259.80
  4. Step 4: Simplify right side
    525,977.80x = 206,330,738,750.25
  5. Step 5: Solve for x
    x = 206,330,738,750.25/525,977.80
  6. Step 6: Final answer
    x = 392,280.32

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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.