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Finding the Fourth Proportional to 517,955.40, 777,659.96 and 265,417.32

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Solution

The fourth proportional to 517,955.40, 777,659.96 and 265,417.32 is: 398,498.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,955.40 : 777,659.96 = 265,417.32 : x
  2. Step 2: Convert to fraction form
    517,955.40/777,659.96 = 265,417.32/x
  3. Step 3: Cross multiply
    517,955.40x = 777,659.96 × 265,417.32
  4. Step 4: Simplify right side
    517,955.40x = 206,404,422,454.51
  5. Step 5: Solve for x
    x = 206,404,422,454.51/517,955.40
  6. Step 6: Final answer
    x = 398,498.45

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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.