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Finding the Fourth Proportional to 461,306.88, 692,075.52 and 128,880

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Solution

The fourth proportional to 461,306.88, 692,075.52 and 128,880 is: 193,352.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,306.88 : 692,075.52 = 128,880 : x
  2. Step 2: Convert to fraction form
    461,306.88/692,075.52 = 128,880/x
  3. Step 3: Cross multiply
    461,306.88x = 692,075.52 × 128,880
  4. Step 4: Simplify right side
    461,306.88x = 89,194,693,017.60
  5. Step 5: Solve for x
    x = 89,194,693,017.60/461,306.88
  6. Step 6: Final answer
    x = 193,352.18

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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.