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Finding the Fourth Proportional to 498,390.28, 747,298.14 and 340,809.64

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Solution

The fourth proportional to 498,390.28, 747,298.14 and 340,809.64 is: 511,018.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,390.28 : 747,298.14 = 340,809.64 : x
  2. Step 2: Convert to fraction form
    498,390.28/747,298.14 = 340,809.64/x
  3. Step 3: Cross multiply
    498,390.28x = 747,298.14 × 340,809.64
  4. Step 4: Simplify right side
    498,390.28x = 254,686,410,066.07
  5. Step 5: Solve for x
    x = 254,686,410,066.07/498,390.28
  6. Step 6: Final answer
    x = 511,018.01

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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.