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Finding the Fourth Proportional to 459,973.74, 689,957.37 and 127,549.74

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Solution

The fourth proportional to 459,973.74, 689,957.37 and 127,549.74 is: 191,323.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,973.74 : 689,957.37 = 127,549.74 : x
  2. Step 2: Convert to fraction form
    459,973.74/689,957.37 = 127,549.74/x
  3. Step 3: Cross multiply
    459,973.74x = 689,957.37 × 127,549.74
  4. Step 4: Simplify right side
    459,973.74x = 88,003,883,154.58
  5. Step 5: Solve for x
    x = 88,003,883,154.58/459,973.74
  6. Step 6: Final answer
    x = 191,323.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.