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Finding the Fourth Proportional to 429,421.70, 644,132.55 and 310,448.90

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Solution

The fourth proportional to 429,421.70, 644,132.55 and 310,448.90 is: 465,673.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,421.70 : 644,132.55 = 310,448.90 : x
  2. Step 2: Convert to fraction form
    429,421.70/644,132.55 = 310,448.90/x
  3. Step 3: Cross multiply
    429,421.70x = 644,132.55 × 310,448.90
  4. Step 4: Simplify right side
    429,421.70x = 199,970,241,601.70
  5. Step 5: Solve for x
    x = 199,970,241,601.70/429,421.70
  6. Step 6: Final answer
    x = 465,673.35

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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.