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Finding the Fourth Proportional to 310,956.60, 466,468.22 and 86,317.98

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Solution

The fourth proportional to 310,956.60, 466,468.22 and 86,317.98 is: 129,486.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,956.60 : 466,468.22 = 86,317.98 : x
  2. Step 2: Convert to fraction form
    310,956.60/466,468.22 = 86,317.98/x
  3. Step 3: Cross multiply
    310,956.60x = 466,468.22 × 86,317.98
  4. Step 4: Simplify right side
    310,956.60x = 40,264,594,484.60
  5. Step 5: Solve for x
    x = 40,264,594,484.60/310,956.60
  6. Step 6: Final answer
    x = 129,486.22

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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.