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Finding the Fourth Proportional to 409,216.09, 564,746.59 and 248,077.93

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Solution

The fourth proportional to 409,216.09, 564,746.59 and 248,077.93 is: 342,364.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,216.09 : 564,746.59 = 248,077.93 : x
  2. Step 2: Convert to fraction form
    409,216.09/564,746.59 = 248,077.93/x
  3. Step 3: Cross multiply
    409,216.09x = 564,746.59 × 248,077.93
  4. Step 4: Simplify right side
    409,216.09x = 140,101,165,021.76
  5. Step 5: Solve for x
    x = 140,101,165,021.76/409,216.09
  6. Step 6: Final answer
    x = 342,364.75

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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.