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Finding the Fourth Proportional to 520,093.65, 780,140.48 and 319,764.45

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Solution

The fourth proportional to 520,093.65, 780,140.48 and 319,764.45 is: 479,646.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,093.65 : 780,140.48 = 319,764.45 : x
  2. Step 2: Convert to fraction form
    520,093.65/780,140.48 = 319,764.45/x
  3. Step 3: Cross multiply
    520,093.65x = 780,140.48 × 319,764.45
  4. Step 4: Simplify right side
    520,093.65x = 249,461,189,911.11
  5. Step 5: Solve for x
    x = 249,461,189,911.11/520,093.65
  6. Step 6: Final answer
    x = 479,646.68

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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.