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Finding the Fourth Proportional to 429,810.68, 644,793.84 and 141,637.64

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Solution

The fourth proportional to 429,810.68, 644,793.84 and 141,637.64 is: 212,482.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,810.68 : 644,793.84 = 141,637.64 : x
  2. Step 2: Convert to fraction form
    429,810.68/644,793.84 = 141,637.64/x
  3. Step 3: Cross multiply
    429,810.68x = 644,793.84 × 141,637.64
  4. Step 4: Simplify right side
    429,810.68x = 91,327,077,784.14
  5. Step 5: Solve for x
    x = 91,327,077,784.14/429,810.68
  6. Step 6: Final answer
    x = 212,482.10

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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.