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Finding the Fourth Proportional to 540,607, 810,123.16 and 259,796.20

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Solution

The fourth proportional to 540,607, 810,123.16 and 259,796.20 is: 389,315.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,607 : 810,123.16 = 259,796.20 : x
  2. Step 2: Convert to fraction form
    540,607/810,123.16 = 259,796.20/x
  3. Step 3: Cross multiply
    540,607x = 810,123.16 × 259,796.20
  4. Step 4: Simplify right side
    540,607x = 210,466,918,499.99
  5. Step 5: Solve for x
    x = 210,466,918,499.99/540,607
  6. Step 6: Final answer
    x = 389,315.93

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1.5x scale

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.