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Finding the Fourth Proportional to 415,421.44, 623,132.16 and 99,878.36

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Solution

The fourth proportional to 415,421.44, 623,132.16 and 99,878.36 is: 149,817.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,421.44 : 623,132.16 = 99,878.36 : x
  2. Step 2: Convert to fraction form
    415,421.44/623,132.16 = 99,878.36/x
  3. Step 3: Cross multiply
    415,421.44x = 623,132.16 × 99,878.36
  4. Step 4: Simplify right side
    415,421.44x = 62,237,416,646.23
  5. Step 5: Solve for x
    x = 62,237,416,646.23/415,421.44
  6. Step 6: Final answer
    x = 149,817.54

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1.5x scale

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.