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Finding the Fourth Proportional to 564,305.36, 778,789.76 and 309,705.76

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Solution

The fourth proportional to 564,305.36, 778,789.76 and 309,705.76 is: 427,420.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,305.36 : 778,789.76 = 309,705.76 : x
  2. Step 2: Convert to fraction form
    564,305.36/778,789.76 = 309,705.76/x
  3. Step 3: Cross multiply
    564,305.36x = 778,789.76 × 309,705.76
  4. Step 4: Simplify right side
    564,305.36x = 241,195,674,501.02
  5. Step 5: Solve for x
    x = 241,195,674,501.02/564,305.36
  6. Step 6: Final answer
    x = 427,420.49

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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.