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Finding the Fourth Proportional to 405,647.10, 608,470.65 and 403,314.30

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Solution

The fourth proportional to 405,647.10, 608,470.65 and 403,314.30 is: 604,971.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,647.10 : 608,470.65 = 403,314.30 : x
  2. Step 2: Convert to fraction form
    405,647.10/608,470.65 = 403,314.30/x
  3. Step 3: Cross multiply
    405,647.10x = 608,470.65 × 403,314.30
  4. Step 4: Simplify right side
    405,647.10x = 245,404,914,275.30
  5. Step 5: Solve for x
    x = 245,404,914,275.30/405,647.10
  6. Step 6: Final answer
    x = 604,971.45

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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.