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Finding the Fourth Proportional to 349,740.40, 524,999.40 and 216,770.80

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Solution

The fourth proportional to 349,740.40, 524,999.40 and 216,770.80 is: 325,397.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,740.40 : 524,999.40 = 216,770.80 : x
  2. Step 2: Convert to fraction form
    349,740.40/524,999.40 = 216,770.80/x
  3. Step 3: Cross multiply
    349,740.40x = 524,999.40 × 216,770.80
  4. Step 4: Simplify right side
    349,740.40x = 113,804,539,937.52
  5. Step 5: Solve for x
    x = 113,804,539,937.52/349,740.40
  6. Step 6: Final answer
    x = 325,397.18

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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.