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Finding the Fourth Proportional to 890,901, 1,335,716.64 and 417,328.02

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Solution

The fourth proportional to 890,901, 1,335,716.64 and 417,328.02 is: 625,694.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    890,901 : 1,335,716.64 = 417,328.02 : x
  2. Step 2: Convert to fraction form
    890,901/1,335,716.64 = 417,328.02/x
  3. Step 3: Cross multiply
    890,901x = 1,335,716.64 × 417,328.02
  4. Step 4: Simplify right side
    890,901x = 557,431,980,652.25
  5. Step 5: Solve for x
    x = 557,431,980,652.25/890,901
  6. Step 6: Final answer
    x = 625,694.64

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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.