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Finding the Fourth Proportional to 398,647.75, 597,973.80 and 103,159.75

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Solution

The fourth proportional to 398,647.75, 597,973.80 and 103,159.75 is: 154,740.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,647.75 : 597,973.80 = 103,159.75 : x
  2. Step 2: Convert to fraction form
    398,647.75/597,973.80 = 103,159.75/x
  3. Step 3: Cross multiply
    398,647.75x = 597,973.80 × 103,159.75
  4. Step 4: Simplify right side
    398,647.75x = 61,686,827,714.55
  5. Step 5: Solve for x
    x = 61,686,827,714.55/398,647.75
  6. Step 6: Final answer
    x = 154,740.19

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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.