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Finding the Fourth Proportional to 390,798.45, 586,289.79 and 311,137.56

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Solution

The fourth proportional to 390,798.45, 586,289.79 and 311,137.56 is: 466,779.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,798.45 : 586,289.79 = 311,137.56 : x
  2. Step 2: Convert to fraction form
    390,798.45/586,289.79 = 311,137.56/x
  3. Step 3: Cross multiply
    390,798.45x = 586,289.79 × 311,137.56
  4. Step 4: Simplify right side
    390,798.45x = 182,416,774,713.51
  5. Step 5: Solve for x
    x = 182,416,774,713.51/390,798.45
  6. Step 6: Final answer
    x = 466,779.68

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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.