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Finding the Fourth Proportional to 402,337.55, 602,709.28 and 275,666.51

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Solution

The fourth proportional to 402,337.55, 602,709.28 and 275,666.51 is: 412,953.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,337.55 : 602,709.28 = 275,666.51 : x
  2. Step 2: Convert to fraction form
    402,337.55/602,709.28 = 275,666.51/x
  3. Step 3: Cross multiply
    402,337.55x = 602,709.28 × 275,666.51
  4. Step 4: Simplify right side
    402,337.55x = 166,146,764,579.82
  5. Step 5: Solve for x
    x = 166,146,764,579.82/402,337.55
  6. Step 6: Final answer
    x = 412,953.66

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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.