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Finding the Fourth Proportional to 429,570.69, 644,358.54 and 145,263.27

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Solution

The fourth proportional to 429,570.69, 644,358.54 and 145,263.27 is: 217,895.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,570.69 : 644,358.54 = 145,263.27 : x
  2. Step 2: Convert to fraction form
    429,570.69/644,358.54 = 145,263.27/x
  3. Step 3: Cross multiply
    429,570.69x = 644,358.54 × 145,263.27
  4. Step 4: Simplify right side
    429,570.69x = 93,601,631,533.91
  5. Step 5: Solve for x
    x = 93,601,631,533.91/429,570.69
  6. Step 6: Final answer
    x = 217,895.76

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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.