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Finding the Fourth Proportional to 412,946.40, 619,419.60 and 349,960.80

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Solution

The fourth proportional to 412,946.40, 619,419.60 and 349,960.80 is: 524,941.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,946.40 : 619,419.60 = 349,960.80 : x
  2. Step 2: Convert to fraction form
    412,946.40/619,419.60 = 349,960.80/x
  3. Step 3: Cross multiply
    412,946.40x = 619,419.60 × 349,960.80
  4. Step 4: Simplify right side
    412,946.40x = 216,772,578,751.68
  5. Step 5: Solve for x
    x = 216,772,578,751.68/412,946.40
  6. Step 6: Final answer
    x = 524,941.20

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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.