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Finding the Fourth Proportional to 398,435.04, 597,704.40 and 145,676.16

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Solution

The fourth proportional to 398,435.04, 597,704.40 and 145,676.16 is: 218,533.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,435.04 : 597,704.40 = 145,676.16 : x
  2. Step 2: Convert to fraction form
    398,435.04/597,704.40 = 145,676.16/x
  3. Step 3: Cross multiply
    398,435.04x = 597,704.40 × 145,676.16
  4. Step 4: Simplify right side
    398,435.04x = 87,071,281,807.10
  5. Step 5: Solve for x
    x = 87,071,281,807.10/398,435.04
  6. Step 6: Final answer
    x = 218,533.19

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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.