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Finding the Fourth Proportional to 729,493.76, 1,006,752 and 407,267.20

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Solution

The fourth proportional to 729,493.76, 1,006,752 and 407,267.20 is: 562,056.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,493.76 : 1,006,752 = 407,267.20 : x
  2. Step 2: Convert to fraction form
    729,493.76/1,006,752 = 407,267.20/x
  3. Step 3: Cross multiply
    729,493.76x = 1,006,752 × 407,267.20
  4. Step 4: Simplify right side
    729,493.76x = 410,017,068,134.40
  5. Step 5: Solve for x
    x = 410,017,068,134.40/729,493.76
  6. Step 6: Final answer
    x = 562,056.99

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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.