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Finding the Fourth Proportional to 564,411.21, 778,883.40 and 306,281.66

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Solution

The fourth proportional to 564,411.21, 778,883.40 and 306,281.66 is: 422,666.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,411.21 : 778,883.40 = 306,281.66 : x
  2. Step 2: Convert to fraction form
    564,411.21/778,883.40 = 306,281.66/x
  3. Step 3: Cross multiply
    564,411.21x = 778,883.40 × 306,281.66
  4. Step 4: Simplify right side
    564,411.21x = 238,557,696,804.03
  5. Step 5: Solve for x
    x = 238,557,696,804.03/564,411.21
  6. Step 6: Final answer
    x = 422,666.48

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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.