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Finding the Fourth Proportional to 208,436.88, 312,655.44 and 146,384.40

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Solution

The fourth proportional to 208,436.88, 312,655.44 and 146,384.40 is: 219,576.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,436.88 : 312,655.44 = 146,384.40 : x
  2. Step 2: Convert to fraction form
    208,436.88/312,655.44 = 146,384.40/x
  3. Step 3: Cross multiply
    208,436.88x = 312,655.44 × 146,384.40
  4. Step 4: Simplify right side
    208,436.88x = 45,767,878,991.14
  5. Step 5: Solve for x
    x = 45,767,878,991.14/208,436.88
  6. Step 6: Final answer
    x = 219,576.68

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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.