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Finding the Fourth Proportional to 689,114.82, 951,031.56 and 413,482.98

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Solution

The fourth proportional to 689,114.82, 951,031.56 and 413,482.98 is: 570,638.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,114.82 : 951,031.56 = 413,482.98 : x
  2. Step 2: Convert to fraction form
    689,114.82/951,031.56 = 413,482.98/x
  3. Step 3: Cross multiply
    689,114.82x = 951,031.56 × 413,482.98
  4. Step 4: Simplify right side
    689,114.82x = 393,235,363,502.85
  5. Step 5: Solve for x
    x = 393,235,363,502.85/689,114.82
  6. Step 6: Final answer
    x = 570,638.38

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1.5x scale

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.