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Finding the Fourth Proportional to 505,411.71, 758,298.06 and 217,102.23

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Solution

The fourth proportional to 505,411.71, 758,298.06 and 217,102.23 is: 325,730.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,411.71 : 758,298.06 = 217,102.23 : x
  2. Step 2: Convert to fraction form
    505,411.71/758,298.06 = 217,102.23/x
  3. Step 3: Cross multiply
    505,411.71x = 758,298.06 × 217,102.23
  4. Step 4: Simplify right side
    505,411.71x = 164,628,199,830.67
  5. Step 5: Solve for x
    x = 164,628,199,830.67/505,411.71
  6. Step 6: Final answer
    x = 325,730.88

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Double scale
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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.