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Finding the Fourth Proportional to 405,397.86, 608,195.88 and 285,688.32

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Solution

The fourth proportional to 405,397.86, 608,195.88 and 285,688.32 is: 428,602.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,397.86 : 608,195.88 = 285,688.32 : x
  2. Step 2: Convert to fraction form
    405,397.86/608,195.88 = 285,688.32/x
  3. Step 3: Cross multiply
    405,397.86x = 608,195.88 × 285,688.32
  4. Step 4: Simplify right side
    405,397.86x = 173,754,459,188.12
  5. Step 5: Solve for x
    x = 173,754,459,188.12/405,397.86
  6. Step 6: Final answer
    x = 428,602.31

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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.