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Finding the Fourth Proportional to 405,430.88, 608,052.01 and 152,736.70

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Solution

The fourth proportional to 405,430.88, 608,052.01 and 152,736.70 is: 229,069.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,430.88 : 608,052.01 = 152,736.70 : x
  2. Step 2: Convert to fraction form
    405,430.88/608,052.01 = 152,736.70/x
  3. Step 3: Cross multiply
    405,430.88x = 608,052.01 × 152,736.70
  4. Step 4: Simplify right side
    405,430.88x = 92,871,857,435.77
  5. Step 5: Solve for x
    x = 92,871,857,435.77/405,430.88
  6. Step 6: Final answer
    x = 229,069.52

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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.