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Finding the Fourth Proportional to 564,133.76, 778,491.06 and 309,482.72

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Solution

The fourth proportional to 564,133.76, 778,491.06 and 309,482.72 is: 427,078.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,133.76 : 778,491.06 = 309,482.72 : x
  2. Step 2: Convert to fraction form
    564,133.76/778,491.06 = 309,482.72/x
  3. Step 3: Cross multiply
    564,133.76x = 778,491.06 × 309,482.72
  4. Step 4: Simplify right side
    564,133.76x = 240,929,530,744.48
  5. Step 5: Solve for x
    x = 240,929,530,744.48/564,133.76
  6. Step 6: Final answer
    x = 427,078.73

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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.