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Finding the Fourth Proportional to 369,855.68, 510,407.69 and 208,714.19

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Solution

The fourth proportional to 369,855.68, 510,407.69 and 208,714.19 is: 288,029.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,855.68 : 510,407.69 = 208,714.19 : x
  2. Step 2: Convert to fraction form
    369,855.68/510,407.69 = 208,714.19/x
  3. Step 3: Cross multiply
    369,855.68x = 510,407.69 × 208,714.19
  4. Step 4: Simplify right side
    369,855.68x = 106,529,323,992.51
  5. Step 5: Solve for x
    x = 106,529,323,992.51/369,855.68
  6. Step 6: Final answer
    x = 288,029.44

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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.