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Finding the Fourth Proportional to 423,038.50, 634,723.90 and 186,215.15

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Solution

The fourth proportional to 423,038.50, 634,723.90 and 186,215.15 is: 279,395.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,038.50 : 634,723.90 = 186,215.15 : x
  2. Step 2: Convert to fraction form
    423,038.50/634,723.90 = 186,215.15/x
  3. Step 3: Cross multiply
    423,038.50x = 634,723.90 × 186,215.15
  4. Step 4: Simplify right side
    423,038.50x = 118,195,207,368.36
  5. Step 5: Solve for x
    x = 118,195,207,368.36/423,038.50
  6. Step 6: Final answer
    x = 279,395.87

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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.