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Finding the Fourth Proportional to 922,178, 1,272,605.64 and 498,242

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Solution

The fourth proportional to 922,178, 1,272,605.64 and 498,242 is: 687,573.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,178 : 1,272,605.64 = 498,242 : x
  2. Step 2: Convert to fraction form
    922,178/1,272,605.64 = 498,242/x
  3. Step 3: Cross multiply
    922,178x = 1,272,605.64 × 498,242
  4. Step 4: Simplify right side
    922,178x = 634,065,579,284.88
  5. Step 5: Solve for x
    x = 634,065,579,284.88/922,178
  6. Step 6: Final answer
    x = 687,573.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.