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Finding the Fourth Proportional to 407,808.70, 611,719.20 and 141,577.67

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Solution

The fourth proportional to 407,808.70, 611,719.20 and 141,577.67 is: 212,368.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,808.70 : 611,719.20 = 141,577.67 : x
  2. Step 2: Convert to fraction form
    407,808.70/611,719.20 = 141,577.67/x
  3. Step 3: Cross multiply
    407,808.70x = 611,719.20 × 141,577.67
  4. Step 4: Simplify right side
    407,808.70x = 86,605,779,030.26
  5. Step 5: Solve for x
    x = 86,605,779,030.26/407,808.70
  6. Step 6: Final answer
    x = 212,368.64

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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.