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Finding the Fourth Proportional to 405,188.68, 607,854.32 and 155,851.24

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Solution

The fourth proportional to 405,188.68, 607,854.32 and 155,851.24 is: 233,804.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,188.68 : 607,854.32 = 155,851.24 : x
  2. Step 2: Convert to fraction form
    405,188.68/607,854.32 = 155,851.24/x
  3. Step 3: Cross multiply
    405,188.68x = 607,854.32 × 155,851.24
  4. Step 4: Simplify right side
    405,188.68x = 94,734,849,511.36
  5. Step 5: Solve for x
    x = 94,734,849,511.36/405,188.68
  6. Step 6: Final answer
    x = 233,804.28

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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.