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Finding the Fourth Proportional to 298,810.40, 448,215.60 and 141,346.40

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Solution

The fourth proportional to 298,810.40, 448,215.60 and 141,346.40 is: 212,019.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,810.40 : 448,215.60 = 141,346.40 : x
  2. Step 2: Convert to fraction form
    298,810.40/448,215.60 = 141,346.40/x
  3. Step 3: Cross multiply
    298,810.40x = 448,215.60 × 141,346.40
  4. Step 4: Simplify right side
    298,810.40x = 63,353,661,483.84
  5. Step 5: Solve for x
    x = 63,353,661,483.84/298,810.40
  6. Step 6: Final answer
    x = 212,019.60

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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.