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Finding the Fourth Proportional to 430,075.98, 644,710.79 and 145,567.43

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Solution

The fourth proportional to 430,075.98, 644,710.79 and 145,567.43 is: 218,214.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,075.98 : 644,710.79 = 145,567.43 : x
  2. Step 2: Convert to fraction form
    430,075.98/644,710.79 = 145,567.43/x
  3. Step 3: Cross multiply
    430,075.98x = 644,710.79 × 145,567.43
  4. Step 4: Simplify right side
    430,075.98x = 93,848,892,351.60
  5. Step 5: Solve for x
    x = 93,848,892,351.60/430,075.98
  6. Step 6: Final answer
    x = 218,214.68

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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.