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Finding the Fourth Proportional to 564,297.88, 778,740.60 and 309,672.76

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Solution

The fourth proportional to 564,297.88, 778,740.60 and 309,672.76 is: 427,353.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,297.88 : 778,740.60 = 309,672.76 : x
  2. Step 2: Convert to fraction form
    564,297.88/778,740.60 = 309,672.76/x
  3. Step 3: Cross multiply
    564,297.88x = 778,740.60 × 309,672.76
  4. Step 4: Simplify right side
    564,297.88x = 241,154,750,926.06
  5. Step 5: Solve for x
    x = 241,154,750,926.06/564,297.88
  6. Step 6: Final answer
    x = 427,353.64

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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.