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Finding the Fourth Proportional to 525,428, 725,091.48 and 299,073.50

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Solution

The fourth proportional to 525,428, 725,091.48 and 299,073.50 is: 412,721.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,428 : 725,091.48 = 299,073.50 : x
  2. Step 2: Convert to fraction form
    525,428/725,091.48 = 299,073.50/x
  3. Step 3: Cross multiply
    525,428x = 725,091.48 × 299,073.50
  4. Step 4: Simplify right side
    525,428x = 216,855,646,743.78
  5. Step 5: Solve for x
    x = 216,855,646,743.78/525,428
  6. Step 6: Final answer
    x = 412,721.91

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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.