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Finding the Fourth Proportional to 525,122, 724,668.36 and 286,658

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Solution

The fourth proportional to 525,122, 724,668.36 and 286,658 is: 395,588.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,122 : 724,668.36 = 286,658 : x
  2. Step 2: Convert to fraction form
    525,122/724,668.36 = 286,658/x
  3. Step 3: Cross multiply
    525,122x = 724,668.36 × 286,658
  4. Step 4: Simplify right side
    525,122x = 207,731,982,740.88
  5. Step 5: Solve for x
    x = 207,731,982,740.88/525,122
  6. Step 6: Final answer
    x = 395,588.04

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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.