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Finding the Fourth Proportional to 787,681, 1,086,999.78 and 429,985

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Solution

The fourth proportional to 787,681, 1,086,999.78 and 429,985 is: 593,379.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,681 : 1,086,999.78 = 429,985 : x
  2. Step 2: Convert to fraction form
    787,681/1,086,999.78 = 429,985/x
  3. Step 3: Cross multiply
    787,681x = 1,086,999.78 × 429,985
  4. Step 4: Simplify right side
    787,681x = 467,393,600,403.30
  5. Step 5: Solve for x
    x = 467,393,600,403.30/787,681
  6. Step 6: Final answer
    x = 593,379.30

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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.