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Finding the Fourth Proportional to 565,564.80, 780,467.76 and 339,283.20

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Solution

The fourth proportional to 565,564.80, 780,467.76 and 339,283.20 is: 468,203.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,564.80 : 780,467.76 = 339,283.20 : x
  2. Step 2: Convert to fraction form
    565,564.80/780,467.76 = 339,283.20/x
  3. Step 3: Cross multiply
    565,564.80x = 780,467.76 × 339,283.20
  4. Step 4: Simplify right side
    565,564.80x = 264,799,599,109.63
  5. Step 5: Solve for x
    x = 264,799,599,109.63/565,564.80
  6. Step 6: Final answer
    x = 468,203.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.