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Finding the Fourth Proportional to 405,610.98, 607,140.81 and 278,507.40

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Solution

The fourth proportional to 405,610.98, 607,140.81 and 278,507.40 is: 416,885.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,610.98 : 607,140.81 = 278,507.40 : x
  2. Step 2: Convert to fraction form
    405,610.98/607,140.81 = 278,507.40/x
  3. Step 3: Cross multiply
    405,610.98x = 607,140.81 × 278,507.40
  4. Step 4: Simplify right side
    405,610.98x = 169,093,208,426.99
  5. Step 5: Solve for x
    x = 169,093,208,426.99/405,610.98
  6. Step 6: Final answer
    x = 416,885.18

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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.