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Finding the Fourth Proportional to 564,495.63, 779,006.48 and 309,848.91

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Solution

The fourth proportional to 564,495.63, 779,006.48 and 309,848.91 is: 427,592.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,495.63 : 779,006.48 = 309,848.91 : x
  2. Step 2: Convert to fraction form
    564,495.63/779,006.48 = 309,848.91/x
  3. Step 3: Cross multiply
    564,495.63x = 779,006.48 × 309,848.91
  4. Step 4: Simplify right side
    564,495.63x = 241,374,307,161.69
  5. Step 5: Solve for x
    x = 241,374,307,161.69/564,495.63
  6. Step 6: Final answer
    x = 427,592.87

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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.