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Finding the Fourth Proportional to 405,429.88, 608,050.51 and 152,735.70

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Solution

The fourth proportional to 405,429.88, 608,050.51 and 152,735.70 is: 229,068.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,429.88 : 608,050.51 = 152,735.70 : x
  2. Step 2: Convert to fraction form
    405,429.88/608,050.51 = 152,735.70/x
  3. Step 3: Cross multiply
    405,429.88x = 608,050.51 × 152,735.70
  4. Step 4: Simplify right side
    405,429.88x = 92,871,020,280.21
  5. Step 5: Solve for x
    x = 92,871,020,280.21/405,429.88
  6. Step 6: Final answer
    x = 229,068.02

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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.