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Finding the Fourth Proportional to 357,973.76, 493,962.88 and 286,327.68

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Solution

The fourth proportional to 357,973.76, 493,962.88 and 286,327.68 is: 395,099.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,973.76 : 493,962.88 = 286,327.68 : x
  2. Step 2: Convert to fraction form
    357,973.76/493,962.88 = 286,327.68/x
  3. Step 3: Cross multiply
    357,973.76x = 493,962.88 × 286,327.68
  4. Step 4: Simplify right side
    357,973.76x = 141,435,245,436.52
  5. Step 5: Solve for x
    x = 141,435,245,436.52/357,973.76
  6. Step 6: Final answer
    x = 395,099.48

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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.