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Finding the Fourth Proportional to 415,421.94, 623,132.91 and 99,878.85

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Solution

The fourth proportional to 415,421.94, 623,132.91 and 99,878.85 is: 149,818.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,421.94 : 623,132.91 = 99,878.85 : x
  2. Step 2: Convert to fraction form
    415,421.94/623,132.91 = 99,878.85/x
  3. Step 3: Cross multiply
    415,421.94x = 623,132.91 × 99,878.85
  4. Step 4: Simplify right side
    415,421.94x = 62,237,798,447.95
  5. Step 5: Solve for x
    x = 62,237,798,447.95/415,421.94
  6. Step 6: Final answer
    x = 149,818.28

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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.