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Finding the Fourth Proportional to 564,222.48, 778,677.48 and 309,623.28

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Solution

The fourth proportional to 564,222.48, 778,677.48 and 309,623.28 is: 427,307.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,222.48 : 778,677.48 = 309,623.28 : x
  2. Step 2: Convert to fraction form
    564,222.48/778,677.48 = 309,623.28/x
  3. Step 3: Cross multiply
    564,222.48x = 778,677.48 × 309,623.28
  4. Step 4: Simplify right side
    564,222.48x = 241,096,675,419.73
  5. Step 5: Solve for x
    x = 241,096,675,419.73/564,222.48
  6. Step 6: Final answer
    x = 427,307.82

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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.