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Finding the Fourth Proportional to 519,014.65, 778,148.34 and 318,921.63

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Solution

The fourth proportional to 519,014.65, 778,148.34 and 318,921.63 is: 478,152.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,014.65 : 778,148.34 = 318,921.63 : x
  2. Step 2: Convert to fraction form
    519,014.65/778,148.34 = 318,921.63/x
  3. Step 3: Cross multiply
    519,014.65x = 778,148.34 × 318,921.63
  4. Step 4: Simplify right side
    519,014.65x = 248,168,336,974.59
  5. Step 5: Solve for x
    x = 248,168,336,974.59/519,014.65
  6. Step 6: Final answer
    x = 478,152.86

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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.