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Finding the Fourth Proportional to 430,898.70, 646,376.85 and 146,585.10

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Solution

The fourth proportional to 430,898.70, 646,376.85 and 146,585.10 is: 219,887.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,898.70 : 646,376.85 = 146,585.10 : x
  2. Step 2: Convert to fraction form
    430,898.70/646,376.85 = 146,585.10/x
  3. Step 3: Cross multiply
    430,898.70x = 646,376.85 × 146,585.10
  4. Step 4: Simplify right side
    430,898.70x = 94,749,215,194.94
  5. Step 5: Solve for x
    x = 94,749,215,194.94/430,898.70
  6. Step 6: Final answer
    x = 219,887.45

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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.