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Finding the Fourth Proportional to 723,411.19, 998,305.72 and 401,113

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Solution

The fourth proportional to 723,411.19, 998,305.72 and 401,113 is: 553,534.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,411.19 : 998,305.72 = 401,113 : x
  2. Step 2: Convert to fraction form
    723,411.19/998,305.72 = 401,113/x
  3. Step 3: Cross multiply
    723,411.19x = 998,305.72 × 401,113
  4. Step 4: Simplify right side
    723,411.19x = 400,433,402,266.36
  5. Step 5: Solve for x
    x = 400,433,402,266.36/723,411.19
  6. Step 6: Final answer
    x = 553,534.99

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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.