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Finding the Fourth Proportional to 385,785.60, 578,678.40 and 133,065.60

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Solution

The fourth proportional to 385,785.60, 578,678.40 and 133,065.60 is: 199,598.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,785.60 : 578,678.40 = 133,065.60 : x
  2. Step 2: Convert to fraction form
    385,785.60/578,678.40 = 133,065.60/x
  3. Step 3: Cross multiply
    385,785.60x = 578,678.40 × 133,065.60
  4. Step 4: Simplify right side
    385,785.60x = 77,002,188,503.04
  5. Step 5: Solve for x
    x = 77,002,188,503.04/385,785.60
  6. Step 6: Final answer
    x = 199,598.40

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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.