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Finding the Fourth Proportional to 289,652.93, 399,721.53 and 162,328.52

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Solution

The fourth proportional to 289,652.93, 399,721.53 and 162,328.52 is: 224,013.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,652.93 : 399,721.53 = 162,328.52 : x
  2. Step 2: Convert to fraction form
    289,652.93/399,721.53 = 162,328.52/x
  3. Step 3: Cross multiply
    289,652.93x = 399,721.53 × 162,328.52
  4. Step 4: Simplify right side
    289,652.93x = 64,886,205,985.07
  5. Step 5: Solve for x
    x = 64,886,205,985.07/289,652.93
  6. Step 6: Final answer
    x = 224,013.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.