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Finding the Fourth Proportional to 462,807.27, 638,486.01 and 301,603.50

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Solution

The fourth proportional to 462,807.27, 638,486.01 and 301,603.50 is: 416,090.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,807.27 : 638,486.01 = 301,603.50 : x
  2. Step 2: Convert to fraction form
    462,807.27/638,486.01 = 301,603.50/x
  3. Step 3: Cross multiply
    462,807.27x = 638,486.01 × 301,603.50
  4. Step 4: Simplify right side
    462,807.27x = 192,569,615,317.04
  5. Step 5: Solve for x
    x = 192,569,615,317.04/462,807.27
  6. Step 6: Final answer
    x = 416,090.30

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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.