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Finding the Fourth Proportional to 458,312.50, 632,475.57 and 257,112.82

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Solution

The fourth proportional to 458,312.50, 632,475.57 and 257,112.82 is: 354,818.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,312.50 : 632,475.57 = 257,112.82 : x
  2. Step 2: Convert to fraction form
    458,312.50/632,475.57 = 257,112.82/x
  3. Step 3: Cross multiply
    458,312.50x = 632,475.57 × 257,112.82
  4. Step 4: Simplify right side
    458,312.50x = 162,617,577,383.81
  5. Step 5: Solve for x
    x = 162,617,577,383.81/458,312.50
  6. Step 6: Final answer
    x = 354,818.12

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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.