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Finding the Fourth Proportional to 564,705.17, 779,290.85 and 322,987.40

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Solution

The fourth proportional to 564,705.17, 779,290.85 and 322,987.40 is: 445,721.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,705.17 : 779,290.85 = 322,987.40 : x
  2. Step 2: Convert to fraction form
    564,705.17/779,290.85 = 322,987.40/x
  3. Step 3: Cross multiply
    564,705.17x = 779,290.85 × 322,987.40
  4. Step 4: Simplify right side
    564,705.17x = 251,701,121,588.84
  5. Step 5: Solve for x
    x = 251,701,121,588.84/564,705.17
  6. Step 6: Final answer
    x = 445,721.30

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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.