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Finding the Fourth Proportional to 525,978.56, 725,673.12 and 299,463.68

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Solution

The fourth proportional to 525,978.56, 725,673.12 and 299,463.68 is: 413,158.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,978.56 : 725,673.12 = 299,463.68 : x
  2. Step 2: Convert to fraction form
    525,978.56/725,673.12 = 299,463.68/x
  3. Step 3: Cross multiply
    525,978.56x = 725,673.12 × 299,463.68
  4. Step 4: Simplify right side
    525,978.56x = 217,312,742,992.28
  5. Step 5: Solve for x
    x = 217,312,742,992.28/525,978.56
  6. Step 6: Final answer
    x = 413,158.94

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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.