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Finding the Fourth Proportional to 564,511.10, 779,034.16 and 309,885.50

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Solution

The fourth proportional to 564,511.10, 779,034.16 and 309,885.50 is: 427,646.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,511.10 : 779,034.16 = 309,885.50 : x
  2. Step 2: Convert to fraction form
    564,511.10/779,034.16 = 309,885.50/x
  3. Step 3: Cross multiply
    564,511.10x = 779,034.16 × 309,885.50
  4. Step 4: Simplify right side
    564,511.10x = 241,411,390,188.68
  5. Step 5: Solve for x
    x = 241,411,390,188.68/564,511.10
  6. Step 6: Final answer
    x = 427,646.84

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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.