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Finding the Fourth Proportional to 724,604, 999,984.75 and 402,314.14

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Solution

The fourth proportional to 724,604, 999,984.75 and 402,314.14 is: 555,210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,604 : 999,984.75 = 402,314.14 : x
  2. Step 2: Convert to fraction form
    724,604/999,984.75 = 402,314.14/x
  3. Step 3: Cross multiply
    724,604x = 999,984.75 × 402,314.14
  4. Step 4: Simplify right side
    724,604x = 402,308,004,709.37
  5. Step 5: Solve for x
    x = 402,308,004,709.37/724,604
  6. Step 6: Final answer
    x = 555,210.85

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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.