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Finding the Fourth Proportional to 448,212, 672,433.20 and 152,724

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Solution

The fourth proportional to 448,212, 672,433.20 and 152,724 is: 229,125.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,212 : 672,433.20 = 152,724 : x
  2. Step 2: Convert to fraction form
    448,212/672,433.20 = 152,724/x
  3. Step 3: Cross multiply
    448,212x = 672,433.20 × 152,724
  4. Step 4: Simplify right side
    448,212x = 102,696,688,036.80
  5. Step 5: Solve for x
    x = 102,696,688,036.80/448,212
  6. Step 6: Final answer
    x = 229,125.25

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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.