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Finding the Fourth Proportional to 462,688.77, 638,322.60 and 301,485

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Solution

The fourth proportional to 462,688.77, 638,322.60 and 301,485 is: 415,926.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,688.77 : 638,322.60 = 301,485 : x
  2. Step 2: Convert to fraction form
    462,688.77/638,322.60 = 301,485/x
  3. Step 3: Cross multiply
    462,688.77x = 638,322.60 × 301,485
  4. Step 4: Simplify right side
    462,688.77x = 192,444,689,061
  5. Step 5: Solve for x
    x = 192,444,689,061/462,688.77
  6. Step 6: Final answer
    x = 415,926.86

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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.