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Finding the Fourth Proportional to 405,598.72, 607,969.04 and 152,769.81

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Solution

The fourth proportional to 405,598.72, 607,969.04 and 152,769.81 is: 228,993.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,598.72 : 607,969.04 = 152,769.81 : x
  2. Step 2: Convert to fraction form
    405,598.72/607,969.04 = 152,769.81/x
  3. Step 3: Cross multiply
    405,598.72x = 607,969.04 × 152,769.81
  4. Step 4: Simplify right side
    405,598.72x = 92,879,316,055.64
  5. Step 5: Solve for x
    x = 92,879,316,055.64/405,598.72
  6. Step 6: Final answer
    x = 228,993.12

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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.