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Finding the Fourth Proportional to 556,954.84, 834,308.64 and 257,018.76

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Solution

The fourth proportional to 556,954.84, 834,308.64 and 257,018.76 is: 385,009.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,954.84 : 834,308.64 = 257,018.76 : x
  2. Step 2: Convert to fraction form
    556,954.84/834,308.64 = 257,018.76/x
  3. Step 3: Cross multiply
    556,954.84x = 834,308.64 × 257,018.76
  4. Step 4: Simplify right side
    556,954.84x = 214,432,972,110.09
  5. Step 5: Solve for x
    x = 214,432,972,110.09/556,954.84
  6. Step 6: Final answer
    x = 385,009.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.