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Finding the Fourth Proportional to 429,771.40, 644,430.30 and 145,364.20

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Solution

The fourth proportional to 429,771.40, 644,430.30 and 145,364.20 is: 217,969.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,771.40 : 644,430.30 = 145,364.20 : x
  2. Step 2: Convert to fraction form
    429,771.40/644,430.30 = 145,364.20/x
  3. Step 3: Cross multiply
    429,771.40x = 644,430.30 × 145,364.20
  4. Step 4: Simplify right side
    429,771.40x = 93,677,095,015.26
  5. Step 5: Solve for x
    x = 93,677,095,015.26/429,771.40
  6. Step 6: Final answer
    x = 217,969.59

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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.