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Finding the Fourth Proportional to 458,861.76, 633,160.80 and 257,618.88

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Solution

The fourth proportional to 458,861.76, 633,160.80 and 257,618.88 is: 355,475.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,861.76 : 633,160.80 = 257,618.88 : x
  2. Step 2: Convert to fraction form
    458,861.76/633,160.80 = 257,618.88/x
  3. Step 3: Cross multiply
    458,861.76x = 633,160.80 × 257,618.88
  4. Step 4: Simplify right side
    458,861.76x = 163,114,176,155.90
  5. Step 5: Solve for x
    x = 163,114,176,155.90/458,861.76
  6. Step 6: Final answer
    x = 355,475.64

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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.