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Finding the Fourth Proportional to 405,923.96, 559,804.92 and 348,545.28

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Solution

The fourth proportional to 405,923.96, 559,804.92 and 348,545.28 is: 480,674.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,923.96 : 559,804.92 = 348,545.28 : x
  2. Step 2: Convert to fraction form
    405,923.96/559,804.92 = 348,545.28/x
  3. Step 3: Cross multiply
    405,923.96x = 559,804.92 × 348,545.28
  4. Step 4: Simplify right side
    405,923.96x = 195,117,362,190.67
  5. Step 5: Solve for x
    x = 195,117,362,190.67/405,923.96
  6. Step 6: Final answer
    x = 480,674.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.