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Finding the Fourth Proportional to 430,113.50, 644,767.24 and 145,605.05

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Solution

The fourth proportional to 430,113.50, 644,767.24 and 145,605.05 is: 218,271.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,113.50 : 644,767.24 = 145,605.05 : x
  2. Step 2: Convert to fraction form
    430,113.50/644,767.24 = 145,605.05/x
  3. Step 3: Cross multiply
    430,113.50x = 644,767.24 × 145,605.05
  4. Step 4: Simplify right side
    430,113.50x = 93,881,366,218.56
  5. Step 5: Solve for x
    x = 93,881,366,218.56/430,113.50
  6. Step 6: Final answer
    x = 218,271.15

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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.