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Finding the Fourth Proportional to 666,714.50, 920,066.02 and 364,908.50

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Solution

The fourth proportional to 666,714.50, 920,066.02 and 364,908.50 is: 503,573.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,714.50 : 920,066.02 = 364,908.50 : x
  2. Step 2: Convert to fraction form
    666,714.50/920,066.02 = 364,908.50/x
  3. Step 3: Cross multiply
    666,714.50x = 920,066.02 × 364,908.50
  4. Step 4: Simplify right side
    666,714.50x = 335,739,911,259.17
  5. Step 5: Solve for x
    x = 335,739,911,259.17/666,714.50
  6. Step 6: Final answer
    x = 503,573.74

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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.