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Finding the Fourth Proportional to 429,421.80, 644,132.70 and 390,055.80

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Solution

The fourth proportional to 429,421.80, 644,132.70 and 390,055.80 is: 585,083.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,421.80 : 644,132.70 = 390,055.80 : x
  2. Step 2: Convert to fraction form
    429,421.80/644,132.70 = 390,055.80/x
  3. Step 3: Cross multiply
    429,421.80x = 644,132.70 × 390,055.80
  4. Step 4: Simplify right side
    429,421.80x = 251,247,695,604.66
  5. Step 5: Solve for x
    x = 251,247,695,604.66/429,421.80
  6. Step 6: Final answer
    x = 585,083.70

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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.