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Finding the Fourth Proportional to 407,980.46, 611,533.16 and 197,328.62

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Solution

The fourth proportional to 407,980.46, 611,533.16 and 197,328.62 is: 295,781.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,980.46 : 611,533.16 = 197,328.62 : x
  2. Step 2: Convert to fraction form
    407,980.46/611,533.16 = 197,328.62/x
  3. Step 3: Cross multiply
    407,980.46x = 611,533.16 × 197,328.62
  4. Step 4: Simplify right side
    407,980.46x = 120,672,994,547.04
  5. Step 5: Solve for x
    x = 120,672,994,547.04/407,980.46
  6. Step 6: Final answer
    x = 295,781.31

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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.