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Finding the Fourth Proportional to 419,327.16, 578,671.08 and 228,341.88

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Solution

The fourth proportional to 419,327.16, 578,671.08 and 228,341.88 is: 315,111.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,327.16 : 578,671.08 = 228,341.88 : x
  2. Step 2: Convert to fraction form
    419,327.16/578,671.08 = 228,341.88/x
  3. Step 3: Cross multiply
    419,327.16x = 578,671.08 × 228,341.88
  4. Step 4: Simplify right side
    419,327.16x = 132,134,842,308.83
  5. Step 5: Solve for x
    x = 132,134,842,308.83/419,327.16
  6. Step 6: Final answer
    x = 315,111.58

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1.5x scale

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.