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Finding the Fourth Proportional to 467,688.64, 645,257.28 and 286,211.32

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Solution

The fourth proportional to 467,688.64, 645,257.28 and 286,211.32 is: 394,877.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,688.64 : 645,257.28 = 286,211.32 : x
  2. Step 2: Convert to fraction form
    467,688.64/645,257.28 = 286,211.32/x
  3. Step 3: Cross multiply
    467,688.64x = 645,257.28 × 286,211.32
  4. Step 4: Simplify right side
    467,688.64x = 184,679,937,848.41
  5. Step 5: Solve for x
    x = 184,679,937,848.41/467,688.64
  6. Step 6: Final answer
    x = 394,877.96

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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.