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Finding the Fourth Proportional to 298,971.90, 448,457.85 and 141,507.90

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Solution

The fourth proportional to 298,971.90, 448,457.85 and 141,507.90 is: 212,261.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,971.90 : 448,457.85 = 141,507.90 : x
  2. Step 2: Convert to fraction form
    298,971.90/448,457.85 = 141,507.90/x
  3. Step 3: Cross multiply
    298,971.90x = 448,457.85 × 141,507.90
  4. Step 4: Simplify right side
    298,971.90x = 63,460,328,592.02
  5. Step 5: Solve for x
    x = 63,460,328,592.02/298,971.90
  6. Step 6: Final answer
    x = 212,261.85

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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.