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Finding the Fourth Proportional to 1,017,873, 1,526,809.50 and 307,885.32

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Solution

The fourth proportional to 1,017,873, 1,526,809.50 and 307,885.32 is: 461,827.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017,873 : 1,526,809.50 = 307,885.32 : x
  2. Step 2: Convert to fraction form
    1,017,873/1,526,809.50 = 307,885.32/x
  3. Step 3: Cross multiply
    1,017,873x = 1,526,809.50 × 307,885.32
  4. Step 4: Simplify right side
    1,017,873x = 470,082,231,486.54
  5. Step 5: Solve for x
    x = 470,082,231,486.54/1,017,873
  6. Step 6: Final answer
    x = 461,827.98

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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.