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Finding the Fourth Proportional to 299,420.77, 413,270.13 and 197,464.63

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Solution

The fourth proportional to 299,420.77, 413,270.13 and 197,464.63 is: 272,547.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,420.77 : 413,270.13 = 197,464.63 : x
  2. Step 2: Convert to fraction form
    299,420.77/413,270.13 = 197,464.63/x
  3. Step 3: Cross multiply
    299,420.77x = 413,270.13 × 197,464.63
  4. Step 4: Simplify right side
    299,420.77x = 81,606,233,310.50
  5. Step 5: Solve for x
    x = 81,606,233,310.50/299,420.77
  6. Step 6: Final answer
    x = 272,547.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.