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Finding the Fourth Proportional to 564,828.36, 779,468.64 and 310,185

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Solution

The fourth proportional to 564,828.36, 779,468.64 and 310,185 is: 428,058.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,828.36 : 779,468.64 = 310,185 : x
  2. Step 2: Convert to fraction form
    564,828.36/779,468.64 = 310,185/x
  3. Step 3: Cross multiply
    564,828.36x = 779,468.64 × 310,185
  4. Step 4: Simplify right side
    564,828.36x = 241,779,480,098.40
  5. Step 5: Solve for x
    x = 241,779,480,098.40/564,828.36
  6. Step 6: Final answer
    x = 428,058.32

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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.