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Finding the Fourth Proportional to 520,208.68, 780,312.98 and 146,231.68

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Solution

The fourth proportional to 520,208.68, 780,312.98 and 146,231.68 is: 219,347.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,208.68 : 780,312.98 = 146,231.68 : x
  2. Step 2: Convert to fraction form
    520,208.68/780,312.98 = 146,231.68/x
  3. Step 3: Cross multiply
    520,208.68x = 780,312.98 × 146,231.68
  4. Step 4: Simplify right side
    520,208.68x = 114,106,477,991.21
  5. Step 5: Solve for x
    x = 114,106,477,991.21/520,208.68
  6. Step 6: Final answer
    x = 219,347.51

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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.