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Finding the Fourth Proportional to 468,538.98, 646,582.91 and 253,679

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Solution

The fourth proportional to 468,538.98, 646,582.91 and 253,679 is: 350,076.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,538.98 : 646,582.91 = 253,679 : x
  2. Step 2: Convert to fraction form
    468,538.98/646,582.91 = 253,679/x
  3. Step 3: Cross multiply
    468,538.98x = 646,582.91 × 253,679
  4. Step 4: Simplify right side
    468,538.98x = 164,024,506,025.89
  5. Step 5: Solve for x
    x = 164,024,506,025.89/468,538.98
  6. Step 6: Final answer
    x = 350,076.54

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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.