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Finding the Fourth Proportional to 434,010, 651,368.16 and 223,708.08

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Solution

The fourth proportional to 434,010, 651,368.16 and 223,708.08 is: 335,744.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,010 : 651,368.16 = 223,708.08 : x
  2. Step 2: Convert to fraction form
    434,010/651,368.16 = 223,708.08/x
  3. Step 3: Cross multiply
    434,010x = 651,368.16 × 223,708.08
  4. Step 4: Simplify right side
    434,010x = 145,716,320,446.73
  5. Step 5: Solve for x
    x = 145,716,320,446.73/434,010
  6. Step 6: Final answer
    x = 335,744.15

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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.