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Finding the Fourth Proportional to 403,509.51, 605,038.28 and 187,136.24

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Solution

The fourth proportional to 403,509.51, 605,038.28 and 187,136.24 is: 280,599.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,509.51 : 605,038.28 = 187,136.24 : x
  2. Step 2: Convert to fraction form
    403,509.51/605,038.28 = 187,136.24/x
  3. Step 3: Cross multiply
    403,509.51x = 605,038.28 × 187,136.24
  4. Step 4: Simplify right side
    403,509.51x = 113,224,584,814.40
  5. Step 5: Solve for x
    x = 113,224,584,814.40/403,509.51
  6. Step 6: Final answer
    x = 280,599.54

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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.