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Finding the Fourth Proportional to 405,077.80, 607,616.70 and 138,840.93

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Solution

The fourth proportional to 405,077.80, 607,616.70 and 138,840.93 is: 208,261.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,077.80 : 607,616.70 = 138,840.93 : x
  2. Step 2: Convert to fraction form
    405,077.80/607,616.70 = 138,840.93/x
  3. Step 3: Cross multiply
    405,077.80x = 607,616.70 × 138,840.93
  4. Step 4: Simplify right side
    405,077.80x = 84,362,067,711.53
  5. Step 5: Solve for x
    x = 84,362,067,711.53/405,077.80
  6. Step 6: Final answer
    x = 208,261.40

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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.