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Finding the Fourth Proportional to 405,458.16, 559,621.12 and 235,790.16

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Solution

The fourth proportional to 405,458.16, 559,621.12 and 235,790.16 is: 325,442.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,458.16 : 559,621.12 = 235,790.16 : x
  2. Step 2: Convert to fraction form
    405,458.16/559,621.12 = 235,790.16/x
  3. Step 3: Cross multiply
    405,458.16x = 559,621.12 × 235,790.16
  4. Step 4: Simplify right side
    405,458.16x = 131,953,153,424.18
  5. Step 5: Solve for x
    x = 131,953,153,424.18/405,458.16
  6. Step 6: Final answer
    x = 325,442.10

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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.