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Finding the Fourth Proportional to 525,409.70, 725,066.18 and 299,055.20

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Solution

The fourth proportional to 525,409.70, 725,066.18 and 299,055.20 is: 412,696.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,409.70 : 725,066.18 = 299,055.20 : x
  2. Step 2: Convert to fraction form
    525,409.70/725,066.18 = 299,055.20/x
  3. Step 3: Cross multiply
    525,409.70x = 725,066.18 × 299,055.20
  4. Step 4: Simplify right side
    525,409.70x = 216,834,806,352.53
  5. Step 5: Solve for x
    x = 216,834,806,352.53/525,409.70
  6. Step 6: Final answer
    x = 412,696.62

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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.