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Finding the Fourth Proportional to 526,021.80, 788,643.90 and 289,631.40

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Solution

The fourth proportional to 526,021.80, 788,643.90 and 289,631.40 is: 434,233.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,021.80 : 788,643.90 = 289,631.40 : x
  2. Step 2: Convert to fraction form
    526,021.80/788,643.90 = 289,631.40/x
  3. Step 3: Cross multiply
    526,021.80x = 788,643.90 × 289,631.40
  4. Step 4: Simplify right side
    526,021.80x = 228,416,036,858.46
  5. Step 5: Solve for x
    x = 228,416,036,858.46/526,021.80
  6. Step 6: Final answer
    x = 434,233.02

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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.