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Finding the Fourth Proportional to 724,599, 999,977.85 and 402,309.14

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Solution

The fourth proportional to 724,599, 999,977.85 and 402,309.14 is: 555,203.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,599 : 999,977.85 = 402,309.14 : x
  2. Step 2: Convert to fraction form
    724,599/999,977.85 = 402,309.14/x
  3. Step 3: Cross multiply
    724,599x = 999,977.85 × 402,309.14
  4. Step 4: Simplify right side
    724,599x = 402,300,223,852.66
  5. Step 5: Solve for x
    x = 402,300,223,852.66/724,599
  6. Step 6: Final answer
    x = 555,203.95

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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.