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Finding the Fourth Proportional to 553,090.16, 763,337.16 and 311,419.82

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Solution

The fourth proportional to 553,090.16, 763,337.16 and 311,419.82 is: 429,800.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,090.16 : 763,337.16 = 311,419.82 : x
  2. Step 2: Convert to fraction form
    553,090.16/763,337.16 = 311,419.82/x
  3. Step 3: Cross multiply
    553,090.16x = 763,337.16 × 311,419.82
  4. Step 4: Simplify right side
    553,090.16x = 237,718,317,149.83
  5. Step 5: Solve for x
    x = 237,718,317,149.83/553,090.16
  6. Step 6: Final answer
    x = 429,800.30

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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.