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Finding the Fourth Proportional to 407,106.20, 610,659.30 and 257,515.40

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Solution

The fourth proportional to 407,106.20, 610,659.30 and 257,515.40 is: 386,273.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,106.20 : 610,659.30 = 257,515.40 : x
  2. Step 2: Convert to fraction form
    407,106.20/610,659.30 = 257,515.40/x
  3. Step 3: Cross multiply
    407,106.20x = 610,659.30 × 257,515.40
  4. Step 4: Simplify right side
    407,106.20x = 157,254,173,903.22
  5. Step 5: Solve for x
    x = 157,254,173,903.22/407,106.20
  6. Step 6: Final answer
    x = 386,273.10

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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.