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Finding the Fourth Proportional to 379,538.47, 523,762.63 and 207,457.57

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Solution

The fourth proportional to 379,538.47, 523,762.63 and 207,457.57 is: 286,291.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,538.47 : 523,762.63 = 207,457.57 : x
  2. Step 2: Convert to fraction form
    379,538.47/523,762.63 = 207,457.57/x
  3. Step 3: Cross multiply
    379,538.47x = 523,762.63 × 207,457.57
  4. Step 4: Simplify right side
    379,538.47x = 108,658,522,476.61
  5. Step 5: Solve for x
    x = 108,658,522,476.61/379,538.47
  6. Step 6: Final answer
    x = 286,291.20

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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.