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Finding the Fourth Proportional to 298,643.40, 412,127.88 and 164,507.40

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Solution

The fourth proportional to 298,643.40, 412,127.88 and 164,507.40 is: 227,020.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,643.40 : 412,127.88 = 164,507.40 : x
  2. Step 2: Convert to fraction form
    298,643.40/412,127.88 = 164,507.40/x
  3. Step 3: Cross multiply
    298,643.40x = 412,127.88 × 164,507.40
  4. Step 4: Simplify right side
    298,643.40x = 67,798,086,006.31
  5. Step 5: Solve for x
    x = 67,798,086,006.31/298,643.40
  6. Step 6: Final answer
    x = 227,020.21

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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.