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Finding the Fourth Proportional to 385,473.40, 578,265.18 and 119,256.64

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Solution

The fourth proportional to 385,473.40, 578,265.18 and 119,256.64 is: 178,902.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,473.40 : 578,265.18 = 119,256.64 : x
  2. Step 2: Convert to fraction form
    385,473.40/578,265.18 = 119,256.64/x
  3. Step 3: Cross multiply
    385,473.40x = 578,265.18 × 119,256.64
  4. Step 4: Simplify right side
    385,473.40x = 68,961,962,395.80
  5. Step 5: Solve for x
    x = 68,961,962,395.80/385,473.40
  6. Step 6: Final answer
    x = 178,902.00

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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.