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Finding the Fourth Proportional to 385,627.60, 578,441.40 and 259,656.40

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Solution

The fourth proportional to 385,627.60, 578,441.40 and 259,656.40 is: 389,484.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,627.60 : 578,441.40 = 259,656.40 : x
  2. Step 2: Convert to fraction form
    385,627.60/578,441.40 = 259,656.40/x
  3. Step 3: Cross multiply
    385,627.60x = 578,441.40 × 259,656.40
  4. Step 4: Simplify right side
    385,627.60x = 150,196,011,534.96
  5. Step 5: Solve for x
    x = 150,196,011,534.96/385,627.60
  6. Step 6: Final answer
    x = 389,484.60

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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.