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Finding the Fourth Proportional to 460,978.60, 691,466.70 and 128,554.60

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Solution

The fourth proportional to 460,978.60, 691,466.70 and 128,554.60 is: 192,831.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,978.60 : 691,466.70 = 128,554.60 : x
  2. Step 2: Convert to fraction form
    460,978.60/691,466.70 = 128,554.60/x
  3. Step 3: Cross multiply
    460,978.60x = 691,466.70 × 128,554.60
  4. Step 4: Simplify right side
    460,978.60x = 88,891,225,031.82
  5. Step 5: Solve for x
    x = 88,891,225,031.82/460,978.60
  6. Step 6: Final answer
    x = 192,831.57

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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.