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Finding the Fourth Proportional to 405,129.60, 607,322.88 and 155,623.68

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Solution

The fourth proportional to 405,129.60, 607,322.88 and 155,623.68 is: 233,292.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,129.60 : 607,322.88 = 155,623.68 : x
  2. Step 2: Convert to fraction form
    405,129.60/607,322.88 = 155,623.68/x
  3. Step 3: Cross multiply
    405,129.60x = 607,322.88 × 155,623.68
  4. Step 4: Simplify right side
    405,129.60x = 94,513,821,533.80
  5. Step 5: Solve for x
    x = 94,513,821,533.80/405,129.60
  6. Step 6: Final answer
    x = 233,292.81

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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.