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Finding the Fourth Proportional to 535,972.32, 802,907.64 and 310,859.82

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Solution

The fourth proportional to 535,972.32, 802,907.64 and 310,859.82 is: 465,680.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,972.32 : 802,907.64 = 310,859.82 : x
  2. Step 2: Convert to fraction form
    535,972.32/802,907.64 = 310,859.82/x
  3. Step 3: Cross multiply
    535,972.32x = 802,907.64 × 310,859.82
  4. Step 4: Simplify right side
    535,972.32x = 249,591,724,447.03
  5. Step 5: Solve for x
    x = 249,591,724,447.03/535,972.32
  6. Step 6: Final answer
    x = 465,680.25

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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.