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Finding the Fourth Proportional to 387,514.84, 535,031.43 and 346,551.88

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Solution

The fourth proportional to 387,514.84, 535,031.43 and 346,551.88 is: 478,474.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,514.84 : 535,031.43 = 346,551.88 : x
  2. Step 2: Convert to fraction form
    387,514.84/535,031.43 = 346,551.88/x
  3. Step 3: Cross multiply
    387,514.84x = 535,031.43 × 346,551.88
  4. Step 4: Simplify right side
    387,514.84x = 185,416,147,925.59
  5. Step 5: Solve for x
    x = 185,416,147,925.59/387,514.84
  6. Step 6: Final answer
    x = 478,474.96

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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.