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Finding the Fourth Proportional to 320,804.42, 442,808.71 and 184,929.21

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Solution

The fourth proportional to 320,804.42, 442,808.71 and 184,929.21 is: 255,259.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,804.42 : 442,808.71 = 184,929.21 : x
  2. Step 2: Convert to fraction form
    320,804.42/442,808.71 = 184,929.21/x
  3. Step 3: Cross multiply
    320,804.42x = 442,808.71 × 184,929.21
  4. Step 4: Simplify right side
    320,804.42x = 81,888,264,459.10
  5. Step 5: Solve for x
    x = 81,888,264,459.10/320,804.42
  6. Step 6: Final answer
    x = 255,259.16

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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.