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Finding the Fourth Proportional to 543,219, 749,607.12 and 301,501.68

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Solution

The fourth proportional to 543,219, 749,607.12 and 301,501.68 is: 416,052.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,219 : 749,607.12 = 301,501.68 : x
  2. Step 2: Convert to fraction form
    543,219/749,607.12 = 301,501.68/x
  3. Step 3: Cross multiply
    543,219x = 749,607.12 × 301,501.68
  4. Step 4: Simplify right side
    543,219x = 226,007,806,019.96
  5. Step 5: Solve for x
    x = 226,007,806,019.96/543,219
  6. Step 6: Final answer
    x = 416,052.84

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1.5x scale

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.