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Finding the Fourth Proportional to 517,661.53, 776,570.64 and 162,642.13

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Solution

The fourth proportional to 517,661.53, 776,570.64 and 162,642.13 is: 243,987.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,661.53 : 776,570.64 = 162,642.13 : x
  2. Step 2: Convert to fraction form
    517,661.53/776,570.64 = 162,642.13/x
  3. Step 3: Cross multiply
    517,661.53x = 776,570.64 × 162,642.13
  4. Step 4: Simplify right side
    517,661.53x = 126,303,102,985.06
  5. Step 5: Solve for x
    x = 126,303,102,985.06/517,661.53
  6. Step 6: Final answer
    x = 243,987.81

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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.