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Finding the Fourth Proportional to 531,450, 733,430.16 and 305,110.08

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Solution

The fourth proportional to 531,450, 733,430.16 and 305,110.08 is: 421,068.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,450 : 733,430.16 = 305,110.08 : x
  2. Step 2: Convert to fraction form
    531,450/733,430.16 = 305,110.08/x
  3. Step 3: Cross multiply
    531,450x = 733,430.16 × 305,110.08
  4. Step 4: Simplify right side
    531,450x = 223,776,934,792.01
  5. Step 5: Solve for x
    x = 223,776,934,792.01/531,450
  6. Step 6: Final answer
    x = 421,068.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.