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Finding the Fourth Proportional to 553,497.88, 763,827.07 and 311,780.45

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Solution

The fourth proportional to 553,497.88, 763,827.07 and 311,780.45 is: 430,257.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,497.88 : 763,827.07 = 311,780.45 : x
  2. Step 2: Convert to fraction form
    553,497.88/763,827.07 = 311,780.45/x
  3. Step 3: Cross multiply
    553,497.88x = 763,827.07 × 311,780.45
  4. Step 4: Simplify right side
    553,497.88x = 238,146,347,840.45
  5. Step 5: Solve for x
    x = 238,146,347,840.45/553,497.88
  6. Step 6: Final answer
    x = 430,257.02

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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.