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Finding the Fourth Proportional to 298,971.40, 448,457.10 and 245,827.30

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Solution

The fourth proportional to 298,971.40, 448,457.10 and 245,827.30 is: 368,740.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,971.40 : 448,457.10 = 245,827.30 : x
  2. Step 2: Convert to fraction form
    298,971.40/448,457.10 = 245,827.30/x
  3. Step 3: Cross multiply
    298,971.40x = 448,457.10 × 245,827.30
  4. Step 4: Simplify right side
    298,971.40x = 110,242,998,058.83
  5. Step 5: Solve for x
    x = 110,242,998,058.83/298,971.40
  6. Step 6: Final answer
    x = 368,740.95

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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.