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Finding the Fourth Proportional to 473,904.83, 707,830.82 and 428,856.35

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Solution

The fourth proportional to 473,904.83, 707,830.82 and 428,856.35 is: 640,545.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,904.83 : 707,830.82 = 428,856.35 : x
  2. Step 2: Convert to fraction form
    473,904.83/707,830.82 = 428,856.35/x
  3. Step 3: Cross multiply
    473,904.83x = 707,830.82 × 428,856.35
  4. Step 4: Simplify right side
    473,904.83x = 303,557,741,882.71
  5. Step 5: Solve for x
    x = 303,557,741,882.71/473,904.83
  6. Step 6: Final answer
    x = 640,545.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.