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Finding the Fourth Proportional to 385,798.28, 532,395.79 and 216,038.48

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Solution

The fourth proportional to 385,798.28, 532,395.79 and 216,038.48 is: 298,129.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,798.28 : 532,395.79 = 216,038.48 : x
  2. Step 2: Convert to fraction form
    385,798.28/532,395.79 = 216,038.48/x
  3. Step 3: Cross multiply
    385,798.28x = 532,395.79 × 216,038.48
  4. Step 4: Simplify right side
    385,798.28x = 115,017,974,027.92
  5. Step 5: Solve for x
    x = 115,017,974,027.92/385,798.28
  6. Step 6: Final answer
    x = 298,129.83

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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.