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Finding the Fourth Proportional to 709,795, 1,064,167.62 and 429,249.88

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Solution

The fourth proportional to 709,795, 1,064,167.62 and 429,249.88 is: 643,557.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,795 : 1,064,167.62 = 429,249.88 : x
  2. Step 2: Convert to fraction form
    709,795/1,064,167.62 = 429,249.88/x
  3. Step 3: Cross multiply
    709,795x = 1,064,167.62 × 429,249.88
  4. Step 4: Simplify right side
    709,795x = 456,793,823,184.89
  5. Step 5: Solve for x
    x = 456,793,823,184.89/709,795
  6. Step 6: Final answer
    x = 643,557.40

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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.