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Finding the Fourth Proportional to 405,807.37, 608,710.47 and 162,758.08

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Solution

The fourth proportional to 405,807.37, 608,710.47 and 162,758.08 is: 244,136.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,807.37 : 608,710.47 = 162,758.08 : x
  2. Step 2: Convert to fraction form
    405,807.37/608,710.47 = 162,758.08/x
  3. Step 3: Cross multiply
    405,807.37x = 608,710.47 × 162,758.08
  4. Step 4: Simplify right side
    405,807.37x = 99,072,549,693.40
  5. Step 5: Solve for x
    x = 99,072,549,693.40/405,807.37
  6. Step 6: Final answer
    x = 244,136.89

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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.