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Finding the Fourth Proportional to 560,705.98, 773,784.75 and 306,066.28

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Solution

The fourth proportional to 560,705.98, 773,784.75 and 306,066.28 is: 422,377.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,705.98 : 773,784.75 = 306,066.28 : x
  2. Step 2: Convert to fraction form
    560,705.98/773,784.75 = 306,066.28/x
  3. Step 3: Cross multiply
    560,705.98x = 773,784.75 × 306,066.28
  4. Step 4: Simplify right side
    560,705.98x = 236,829,419,953.23
  5. Step 5: Solve for x
    x = 236,829,419,953.23/560,705.98
  6. Step 6: Final answer
    x = 422,377.20

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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.