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Finding the Fourth Proportional to 385,430.40, 578,145.60 and 259,459.20

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Solution

The fourth proportional to 385,430.40, 578,145.60 and 259,459.20 is: 389,188.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,430.40 : 578,145.60 = 259,459.20 : x
  2. Step 2: Convert to fraction form
    385,430.40/578,145.60 = 259,459.20/x
  3. Step 3: Cross multiply
    385,430.40x = 578,145.60 × 259,459.20
  4. Step 4: Simplify right side
    385,430.40x = 150,005,194,859.52
  5. Step 5: Solve for x
    x = 150,005,194,859.52/385,430.40
  6. Step 6: Final answer
    x = 389,188.80

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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.