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Finding the Fourth Proportional to 398,659.01, 597,988.53 and 162,020.16

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Solution

The fourth proportional to 398,659.01, 597,988.53 and 162,020.16 is: 243,030.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,659.01 : 597,988.53 = 162,020.16 : x
  2. Step 2: Convert to fraction form
    398,659.01/597,988.53 = 162,020.16/x
  3. Step 3: Cross multiply
    398,659.01x = 597,988.53 × 162,020.16
  4. Step 4: Simplify right side
    398,659.01x = 96,886,197,308.76
  5. Step 5: Solve for x
    x = 96,886,197,308.76/398,659.01
  6. Step 6: Final answer
    x = 243,030.25

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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.