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Finding the Fourth Proportional to 310,555.16, 465,509.62 and 210,724.28

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Solution

The fourth proportional to 310,555.16, 465,509.62 and 210,724.28 is: 315,867.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,555.16 : 465,509.62 = 210,724.28 : x
  2. Step 2: Convert to fraction form
    310,555.16/465,509.62 = 210,724.28/x
  3. Step 3: Cross multiply
    310,555.16x = 465,509.62 × 210,724.28
  4. Step 4: Simplify right side
    310,555.16x = 98,094,179,507.57
  5. Step 5: Solve for x
    x = 98,094,179,507.57/310,555.16
  6. Step 6: Final answer
    x = 315,867.17

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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.