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Finding the Fourth Proportional to 520,323.40, 780,319 and 165,254.37

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Solution

The fourth proportional to 520,323.40, 780,319 and 165,254.37 is: 247,828.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,323.40 : 780,319 = 165,254.37 : x
  2. Step 2: Convert to fraction form
    520,323.40/780,319 = 165,254.37/x
  3. Step 3: Cross multiply
    520,323.40x = 780,319 × 165,254.37
  4. Step 4: Simplify right side
    520,323.40x = 128,951,124,744.03
  5. Step 5: Solve for x
    x = 128,951,124,744.03/520,323.40
  6. Step 6: Final answer
    x = 247,828.80

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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.