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Finding the Fourth Proportional to 398,398.40, 597,547.86 and 161,513.48

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Solution

The fourth proportional to 398,398.40, 597,547.86 and 161,513.48 is: 242,250.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,398.40 : 597,547.86 = 161,513.48 : x
  2. Step 2: Convert to fraction form
    398,398.40/597,547.86 = 161,513.48/x
  3. Step 3: Cross multiply
    398,398.40x = 597,547.86 × 161,513.48
  4. Step 4: Simplify right side
    398,398.40x = 96,512,035,829.02
  5. Step 5: Solve for x
    x = 96,512,035,829.02/398,398.40
  6. Step 6: Final answer
    x = 242,250.06

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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.