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Finding the Fourth Proportional to 314,681.40, 471,978.90 and 104,297.40

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Solution

The fourth proportional to 314,681.40, 471,978.90 and 104,297.40 is: 156,431.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,681.40 : 471,978.90 = 104,297.40 : x
  2. Step 2: Convert to fraction form
    314,681.40/471,978.90 = 104,297.40/x
  3. Step 3: Cross multiply
    314,681.40x = 471,978.90 × 104,297.40
  4. Step 4: Simplify right side
    314,681.40x = 49,226,172,124.86
  5. Step 5: Solve for x
    x = 49,226,172,124.86/314,681.40
  6. Step 6: Final answer
    x = 156,431.78

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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.