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Finding the Fourth Proportional to 319,913.49, 480,165.44 and 162,252.66

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Solution

The fourth proportional to 319,913.49, 480,165.44 and 162,252.66 is: 243,528.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,913.49 : 480,165.44 = 162,252.66 : x
  2. Step 2: Convert to fraction form
    319,913.49/480,165.44 = 162,252.66/x
  3. Step 3: Cross multiply
    319,913.49x = 480,165.44 × 162,252.66
  4. Step 4: Simplify right side
    319,913.49x = 77,908,119,068.81
  5. Step 5: Solve for x
    x = 77,908,119,068.81/319,913.49
  6. Step 6: Final answer
    x = 243,528.71

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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.