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Finding the Fourth Proportional to 564,583.90, 779,126.53 and 306,460.68

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Solution

The fourth proportional to 564,583.90, 779,126.53 and 306,460.68 is: 422,916.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,583.90 : 779,126.53 = 306,460.68 : x
  2. Step 2: Convert to fraction form
    564,583.90/779,126.53 = 306,460.68/x
  3. Step 3: Cross multiply
    564,583.90x = 779,126.53 × 306,460.68
  4. Step 4: Simplify right side
    564,583.90x = 238,771,646,189.84
  5. Step 5: Solve for x
    x = 238,771,646,189.84/564,583.90
  6. Step 6: Final answer
    x = 422,916.14

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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.