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Finding the Fourth Proportional to 379,886.24, 569,813.52 and 99,397.28

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Solution

The fourth proportional to 379,886.24, 569,813.52 and 99,397.28 is: 149,091.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,886.24 : 569,813.52 = 99,397.28 : x
  2. Step 2: Convert to fraction form
    379,886.24/569,813.52 = 99,397.28/x
  3. Step 3: Cross multiply
    379,886.24x = 569,813.52 × 99,397.28
  4. Step 4: Simplify right side
    379,886.24x = 56,637,913,995.23
  5. Step 5: Solve for x
    x = 56,637,913,995.23/379,886.24
  6. Step 6: Final answer
    x = 149,091.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.