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Finding the Fourth Proportional to 415,259.40, 622,889.10 and 407,386.20

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Solution

The fourth proportional to 415,259.40, 622,889.10 and 407,386.20 is: 611,079.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,259.40 : 622,889.10 = 407,386.20 : x
  2. Step 2: Convert to fraction form
    415,259.40/622,889.10 = 407,386.20/x
  3. Step 3: Cross multiply
    415,259.40x = 622,889.10 × 407,386.20
  4. Step 4: Simplify right side
    415,259.40x = 253,756,423,470.42
  5. Step 5: Solve for x
    x = 253,756,423,470.42/415,259.40
  6. Step 6: Final answer
    x = 611,079.30

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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.