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Finding the Fourth Proportional to 405,316.80, 608,008.95 and 120,988.58

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Solution

The fourth proportional to 405,316.80, 608,008.95 and 120,988.58 is: 181,492.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,316.80 : 608,008.95 = 120,988.58 : x
  2. Step 2: Convert to fraction form
    405,316.80/608,008.95 = 120,988.58/x
  3. Step 3: Cross multiply
    405,316.80x = 608,008.95 × 120,988.58
  4. Step 4: Simplify right side
    405,316.80x = 73,562,136,447.75
  5. Step 5: Solve for x
    x = 73,562,136,447.75/405,316.80
  6. Step 6: Final answer
    x = 181,492.94

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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.