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Finding the Fourth Proportional to 405,054.15, 607,010.72 and 309,916.01

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Solution

The fourth proportional to 405,054.15, 607,010.72 and 309,916.01 is: 464,437.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,054.15 : 607,010.72 = 309,916.01 : x
  2. Step 2: Convert to fraction form
    405,054.15/607,010.72 = 309,916.01/x
  3. Step 3: Cross multiply
    405,054.15x = 607,010.72 × 309,916.01
  4. Step 4: Simplify right side
    405,054.15x = 188,122,335,784.99
  5. Step 5: Solve for x
    x = 188,122,335,784.99/405,054.15
  6. Step 6: Final answer
    x = 464,437.50

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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.