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Finding the Fourth Proportional to 430,693.60, 646,099.50 and 146,307.81

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Solution

The fourth proportional to 430,693.60, 646,099.50 and 146,307.81 is: 219,481.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,693.60 : 646,099.50 = 146,307.81 : x
  2. Step 2: Convert to fraction form
    430,693.60/646,099.50 = 146,307.81/x
  3. Step 3: Cross multiply
    430,693.60x = 646,099.50 × 146,307.81
  4. Step 4: Simplify right side
    430,693.60x = 94,529,398,925.06
  5. Step 5: Solve for x
    x = 94,529,398,925.06/430,693.60
  6. Step 6: Final answer
    x = 219,481.78

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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.