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Finding the Fourth Proportional to 564,283.92, 778,726.08 and 309,635.04

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Solution

The fourth proportional to 564,283.92, 778,726.08 and 309,635.04 is: 427,304.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,283.92 : 778,726.08 = 309,635.04 : x
  2. Step 2: Convert to fraction form
    564,283.92/778,726.08 = 309,635.04/x
  3. Step 3: Cross multiply
    564,283.92x = 778,726.08 × 309,635.04
  4. Step 4: Simplify right side
    564,283.92x = 241,120,880,929.84
  5. Step 5: Solve for x
    x = 241,120,880,929.84/564,283.92
  6. Step 6: Final answer
    x = 427,304.19

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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.