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Finding the Fourth Proportional to 458,158.74, 632,280.36 and 286,178.53

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Solution

The fourth proportional to 458,158.74, 632,280.36 and 286,178.53 is: 394,939.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,158.74 : 632,280.36 = 286,178.53 : x
  2. Step 2: Convert to fraction form
    458,158.74/632,280.36 = 286,178.53/x
  3. Step 3: Cross multiply
    458,158.74x = 632,280.36 × 286,178.53
  4. Step 4: Simplify right side
    458,158.74x = 180,945,063,972.67
  5. Step 5: Solve for x
    x = 180,945,063,972.67/458,158.74
  6. Step 6: Final answer
    x = 394,939.68

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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.