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Finding the Fourth Proportional to 286,314.66, 429,147.99 and 145,776.42

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Solution

The fourth proportional to 286,314.66, 429,147.99 and 145,776.42 is: 218,499.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,314.66 : 429,147.99 = 145,776.42 : x
  2. Step 2: Convert to fraction form
    286,314.66/429,147.99 = 145,776.42/x
  3. Step 3: Cross multiply
    286,314.66x = 429,147.99 × 145,776.42
  4. Step 4: Simplify right side
    286,314.66x = 62,559,657,632.40
  5. Step 5: Solve for x
    x = 62,559,657,632.40/286,314.66
  6. Step 6: Final answer
    x = 218,499.67

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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.