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Finding the Fourth Proportional to 430,925, 646,457.54 and 127,349.96

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Solution

The fourth proportional to 430,925, 646,457.54 and 127,349.96 is: 191,045.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,925 : 646,457.54 = 127,349.96 : x
  2. Step 2: Convert to fraction form
    430,925/646,457.54 = 127,349.96/x
  3. Step 3: Cross multiply
    430,925x = 646,457.54 × 127,349.96
  4. Step 4: Simplify right side
    430,925x = 82,326,341,860.70
  5. Step 5: Solve for x
    x = 82,326,341,860.70/430,925
  6. Step 6: Final answer
    x = 191,045.64

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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.