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Finding the Fourth Proportional to 357,908.64, 536,835.05 and 208,053.35

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Solution

The fourth proportional to 357,908.64, 536,835.05 and 208,053.35 is: 312,063.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,908.64 : 536,835.05 = 208,053.35 : x
  2. Step 2: Convert to fraction form
    357,908.64/536,835.05 = 208,053.35/x
  3. Step 3: Cross multiply
    357,908.64x = 536,835.05 × 208,053.35
  4. Step 4: Simplify right side
    357,908.64x = 111,690,329,618.81
  5. Step 5: Solve for x
    x = 111,690,329,618.81/357,908.64
  6. Step 6: Final answer
    x = 312,063.80

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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.