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Finding the Fourth Proportional to 405,405, 559,432.08 and 233,295.12

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Solution

The fourth proportional to 405,405, 559,432.08 and 233,295.12 is: 321,931.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,405 : 559,432.08 = 233,295.12 : x
  2. Step 2: Convert to fraction form
    405,405/559,432.08 = 233,295.12/x
  3. Step 3: Cross multiply
    405,405x = 559,432.08 × 233,295.12
  4. Step 4: Simplify right side
    405,405x = 130,512,774,235.45
  5. Step 5: Solve for x
    x = 130,512,774,235.45/405,405
  6. Step 6: Final answer
    x = 321,931.83

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1.5x scale

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.