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Finding the Fourth Proportional to 564,630.31, 779,190.42 and 306,507.12

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Solution

The fourth proportional to 564,630.31, 779,190.42 and 306,507.12 is: 422,980.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,630.31 : 779,190.42 = 306,507.12 : x
  2. Step 2: Convert to fraction form
    564,630.31/779,190.42 = 306,507.12/x
  3. Step 3: Cross multiply
    564,630.31x = 779,190.42 × 306,507.12
  4. Step 4: Simplify right side
    564,630.31x = 238,827,411,565.79
  5. Step 5: Solve for x
    x = 238,827,411,565.79/564,630.31
  6. Step 6: Final answer
    x = 422,980.15

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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.