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Finding the Fourth Proportional to 469,830.38, 648,370.68 and 254,972.30

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Solution

The fourth proportional to 469,830.38, 648,370.68 and 254,972.30 is: 351,864.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,830.38 : 648,370.68 = 254,972.30 : x
  2. Step 2: Convert to fraction form
    469,830.38/648,370.68 = 254,972.30/x
  3. Step 3: Cross multiply
    469,830.38x = 648,370.68 × 254,972.30
  4. Step 4: Simplify right side
    469,830.38x = 165,316,563,532.16
  5. Step 5: Solve for x
    x = 165,316,563,532.16/469,830.38
  6. Step 6: Final answer
    x = 351,864.35

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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.