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Finding the Fourth Proportional to 578,827.76, 798,383.66 and 407,109.98

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Solution

The fourth proportional to 578,827.76, 798,383.66 and 407,109.98 is: 561,531.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,827.76 : 798,383.66 = 407,109.98 : x
  2. Step 2: Convert to fraction form
    578,827.76/798,383.66 = 407,109.98/x
  3. Step 3: Cross multiply
    578,827.76x = 798,383.66 × 407,109.98
  4. Step 4: Simplify right side
    578,827.76x = 325,029,955,815.34
  5. Step 5: Solve for x
    x = 325,029,955,815.34/578,827.76
  6. Step 6: Final answer
    x = 561,531.39

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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.