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Finding the Fourth Proportional to 199,407.60, 299,111.40 and 163,978.20

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Solution

The fourth proportional to 199,407.60, 299,111.40 and 163,978.20 is: 245,967.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,407.60 : 299,111.40 = 163,978.20 : x
  2. Step 2: Convert to fraction form
    199,407.60/299,111.40 = 163,978.20/x
  3. Step 3: Cross multiply
    199,407.60x = 299,111.40 × 163,978.20
  4. Step 4: Simplify right side
    199,407.60x = 49,047,748,971.48
  5. Step 5: Solve for x
    x = 49,047,748,971.48/199,407.60
  6. Step 6: Final answer
    x = 245,967.30

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1.5x scale

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.