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Finding the Fourth Proportional to 405,438.90, 608,461.29 and 152,968.38

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Solution

The fourth proportional to 405,438.90, 608,461.29 and 152,968.38 is: 229,566.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,438.90 : 608,461.29 = 152,968.38 : x
  2. Step 2: Convert to fraction form
    405,438.90/608,461.29 = 152,968.38/x
  3. Step 3: Cross multiply
    405,438.90x = 608,461.29 × 152,968.38
  4. Step 4: Simplify right side
    405,438.90x = 93,075,337,824.01
  5. Step 5: Solve for x
    x = 93,075,337,824.01/405,438.90
  6. Step 6: Final answer
    x = 229,566.87

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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.