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Finding the Fourth Proportional to 282,480, 389,856.96 and 163,248

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Solution

The fourth proportional to 282,480, 389,856.96 and 163,248 is: 225,302.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,480 : 389,856.96 = 163,248 : x
  2. Step 2: Convert to fraction form
    282,480/389,856.96 = 163,248/x
  3. Step 3: Cross multiply
    282,480x = 389,856.96 × 163,248
  4. Step 4: Simplify right side
    282,480x = 63,643,369,006.08
  5. Step 5: Solve for x
    x = 63,643,369,006.08/282,480
  6. Step 6: Final answer
    x = 225,302.21

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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.