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Finding the Fourth Proportional to 564,193.76, 778,588.40 and 309,546.77

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Solution

The fourth proportional to 564,193.76, 778,588.40 and 309,546.77 is: 427,175.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,193.76 : 778,588.40 = 309,546.77 : x
  2. Step 2: Convert to fraction form
    564,193.76/778,588.40 = 309,546.77/x
  3. Step 3: Cross multiply
    564,193.76x = 778,588.40 × 309,546.77
  4. Step 4: Simplify right side
    564,193.76x = 241,009,521,260.39
  5. Step 5: Solve for x
    x = 241,009,521,260.39/564,193.76
  6. Step 6: Final answer
    x = 427,175.10

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Double scale
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1.5x scale

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.