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Finding the Fourth Proportional to 423,035.40, 634,358.70 and 186,256.20

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Solution

The fourth proportional to 423,035.40, 634,358.70 and 186,256.20 is: 279,298.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,035.40 : 634,358.70 = 186,256.20 : x
  2. Step 2: Convert to fraction form
    423,035.40/634,358.70 = 186,256.20/x
  3. Step 3: Cross multiply
    423,035.40x = 634,358.70 × 186,256.20
  4. Step 4: Simplify right side
    423,035.40x = 118,153,240,898.94
  5. Step 5: Solve for x
    x = 118,153,240,898.94/423,035.40
  6. Step 6: Final answer
    x = 279,298.71

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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.