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Finding the Fourth Proportional to 290,136, 435,266.40 and 90,452.16

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Solution

The fourth proportional to 290,136, 435,266.40 and 90,452.16 is: 135,697.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,136 : 435,266.40 = 90,452.16 : x
  2. Step 2: Convert to fraction form
    290,136/435,266.40 = 90,452.16/x
  3. Step 3: Cross multiply
    290,136x = 435,266.40 × 90,452.16
  4. Step 4: Simplify right side
    290,136x = 39,370,786,055.42
  5. Step 5: Solve for x
    x = 39,370,786,055.42/290,136
  6. Step 6: Final answer
    x = 135,697.69

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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.