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Finding the Fourth Proportional to 461,314.88, 692,087.52 and 128,888

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Solution

The fourth proportional to 461,314.88, 692,087.52 and 128,888 is: 193,364.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,314.88 : 692,087.52 = 128,888 : x
  2. Step 2: Convert to fraction form
    461,314.88/692,087.52 = 128,888/x
  3. Step 3: Cross multiply
    461,314.88x = 692,087.52 × 128,888
  4. Step 4: Simplify right side
    461,314.88x = 89,201,776,277.76
  5. Step 5: Solve for x
    x = 89,201,776,277.76/461,314.88
  6. Step 6: Final answer
    x = 193,364.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.