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Finding the Fourth Proportional to 553,498.07, 763,827.33 and 311,780.64

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Solution

The fourth proportional to 553,498.07, 763,827.33 and 311,780.64 is: 430,257.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,498.07 : 763,827.33 = 311,780.64 : x
  2. Step 2: Convert to fraction form
    553,498.07/763,827.33 = 311,780.64/x
  3. Step 3: Cross multiply
    553,498.07x = 763,827.33 × 311,780.64
  4. Step 4: Simplify right side
    553,498.07x = 238,146,572,364.72
  5. Step 5: Solve for x
    x = 238,146,572,364.72/553,498.07
  6. Step 6: Final answer
    x = 430,257.28

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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.