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Finding the Fourth Proportional to 300,407.04, 414,330.24 and 209,733.12

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Solution

The fourth proportional to 300,407.04, 414,330.24 and 209,733.12 is: 289,270.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,407.04 : 414,330.24 = 209,733.12 : x
  2. Step 2: Convert to fraction form
    300,407.04/414,330.24 = 209,733.12/x
  3. Step 3: Cross multiply
    300,407.04x = 414,330.24 × 209,733.12
  4. Step 4: Simplify right side
    300,407.04x = 86,898,773,945.55
  5. Step 5: Solve for x
    x = 86,898,773,945.55/300,407.04
  6. Step 6: Final answer
    x = 289,270.10

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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.