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Finding the Fourth Proportional to 768,322.16, 1,152,785.64 and 389,034.80

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Solution

The fourth proportional to 768,322.16, 1,152,785.64 and 389,034.80 is: 583,705.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,322.16 : 1,152,785.64 = 389,034.80 : x
  2. Step 2: Convert to fraction form
    768,322.16/1,152,785.64 = 389,034.80/x
  3. Step 3: Cross multiply
    768,322.16x = 1,152,785.64 × 389,034.80
  4. Step 4: Simplify right side
    768,322.16x = 448,473,730,900.27
  5. Step 5: Solve for x
    x = 448,473,730,900.27/768,322.16
  6. Step 6: Final answer
    x = 583,705.32

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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.