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Finding the Fourth Proportional to 462,830.07, 638,522.96 and 290,646.75

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Solution

The fourth proportional to 462,830.07, 638,522.96 and 290,646.75 is: 400,977.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,830.07 : 638,522.96 = 290,646.75 : x
  2. Step 2: Convert to fraction form
    462,830.07/638,522.96 = 290,646.75/x
  3. Step 3: Cross multiply
    462,830.07x = 638,522.96 × 290,646.75
  4. Step 4: Simplify right side
    462,830.07x = 185,584,621,671.15
  5. Step 5: Solve for x
    x = 185,584,621,671.15/462,830.07
  6. Step 6: Final answer
    x = 400,977.88

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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.