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Finding the Fourth Proportional to 584,840.35, 807,149.60 and 355,435

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Solution

The fourth proportional to 584,840.35, 807,149.60 and 355,435 is: 490,542.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,840.35 : 807,149.60 = 355,435 : x
  2. Step 2: Convert to fraction form
    584,840.35/807,149.60 = 355,435/x
  3. Step 3: Cross multiply
    584,840.35x = 807,149.60 × 355,435
  4. Step 4: Simplify right side
    584,840.35x = 286,889,216,298.83
  5. Step 5: Solve for x
    x = 286,889,216,298.83/584,840.35
  6. Step 6: Final answer
    x = 490,542.79

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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.