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Finding the Fourth Proportional to 520,153.60, 780,424.80 and 204,830.32

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Solution

The fourth proportional to 520,153.60, 780,424.80 and 204,830.32 is: 307,322.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,153.60 : 780,424.80 = 204,830.32 : x
  2. Step 2: Convert to fraction form
    520,153.60/780,424.80 = 204,830.32/x
  3. Step 3: Cross multiply
    520,153.60x = 780,424.80 × 204,830.32
  4. Step 4: Simplify right side
    520,153.60x = 159,854,661,519.94
  5. Step 5: Solve for x
    x = 159,854,661,519.94/520,153.60
  6. Step 6: Final answer
    x = 307,322.03

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1.5x scale

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.