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Finding the Fourth Proportional to 270,491.40, 405,737.10 and 258,973.20

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Solution

The fourth proportional to 270,491.40, 405,737.10 and 258,973.20 is: 388,459.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,491.40 : 405,737.10 = 258,973.20 : x
  2. Step 2: Convert to fraction form
    270,491.40/405,737.10 = 258,973.20/x
  3. Step 3: Cross multiply
    270,491.40x = 405,737.10 × 258,973.20
  4. Step 4: Simplify right side
    270,491.40x = 105,075,035,145.72
  5. Step 5: Solve for x
    x = 105,075,035,145.72/270,491.40
  6. Step 6: Final answer
    x = 388,459.80

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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.