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Finding the Fourth Proportional to 1,287,999, 1,931,998.50 and 401,535

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Solution

The fourth proportional to 1,287,999, 1,931,998.50 and 401,535 is: 602,302.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287,999 : 1,931,998.50 = 401,535 : x
  2. Step 2: Convert to fraction form
    1,287,999/1,931,998.50 = 401,535/x
  3. Step 3: Cross multiply
    1,287,999x = 1,931,998.50 × 401,535
  4. Step 4: Simplify right side
    1,287,999x = 775,765,017,697.50
  5. Step 5: Solve for x
    x = 775,765,017,697.50/1,287,999
  6. Step 6: Final answer
    x = 602,302.50

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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.