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Finding the Fourth Proportional to 405,235.44, 607,309.80 and 315,386.64

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Solution

The fourth proportional to 405,235.44, 607,309.80 and 315,386.64 is: 472,657.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,235.44 : 607,309.80 = 315,386.64 : x
  2. Step 2: Convert to fraction form
    405,235.44/607,309.80 = 315,386.64/x
  3. Step 3: Cross multiply
    405,235.44x = 607,309.80 × 315,386.64
  4. Step 4: Simplify right side
    405,235.44x = 191,537,397,261.07
  5. Step 5: Solve for x
    x = 191,537,397,261.07/405,235.44
  6. Step 6: Final answer
    x = 472,657.07

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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.