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Finding the Fourth Proportional to 409,533.68, 565,379.52 and 282,890.72

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Solution

The fourth proportional to 409,533.68, 565,379.52 and 282,890.72 is: 390,543.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,533.68 : 565,379.52 = 282,890.72 : x
  2. Step 2: Convert to fraction form
    409,533.68/565,379.52 = 282,890.72/x
  3. Step 3: Cross multiply
    409,533.68x = 565,379.52 × 282,890.72
  4. Step 4: Simplify right side
    409,533.68x = 159,940,619,486.05
  5. Step 5: Solve for x
    x = 159,940,619,486.05/409,533.68
  6. Step 6: Final answer
    x = 390,543.26

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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.