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Finding the Fourth Proportional to 525,664, 725,416.20 and 283,946.58

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Solution

The fourth proportional to 525,664, 725,416.20 and 283,946.58 is: 391,846.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,664 : 725,416.20 = 283,946.58 : x
  2. Step 2: Convert to fraction form
    525,664/725,416.20 = 283,946.58/x
  3. Step 3: Cross multiply
    525,664x = 725,416.20 × 283,946.58
  4. Step 4: Simplify right side
    525,664x = 205,979,449,066.60
  5. Step 5: Solve for x
    x = 205,979,449,066.60/525,664
  6. Step 6: Final answer
    x = 391,846.22

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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.