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Finding the Fourth Proportional to 389,322.60, 583,940.70 and 319,079.40

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Solution

The fourth proportional to 389,322.60, 583,940.70 and 319,079.40 is: 478,583.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,322.60 : 583,940.70 = 319,079.40 : x
  2. Step 2: Convert to fraction form
    389,322.60/583,940.70 = 319,079.40/x
  3. Step 3: Cross multiply
    389,322.60x = 583,940.70 × 319,079.40
  4. Step 4: Simplify right side
    389,322.60x = 186,323,448,191.58
  5. Step 5: Solve for x
    x = 186,323,448,191.58/389,322.60
  6. Step 6: Final answer
    x = 478,583.69

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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.