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Finding the Fourth Proportional to 748,406.84, 1,123,320 and 463,234.77

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Solution

The fourth proportional to 748,406.84, 1,123,320 and 463,234.77 is: 695,291.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,406.84 : 1,123,320 = 463,234.77 : x
  2. Step 2: Convert to fraction form
    748,406.84/1,123,320 = 463,234.77/x
  3. Step 3: Cross multiply
    748,406.84x = 1,123,320 × 463,234.77
  4. Step 4: Simplify right side
    748,406.84x = 520,360,881,836.40
  5. Step 5: Solve for x
    x = 520,360,881,836.40/748,406.84
  6. Step 6: Final answer
    x = 695,291.46

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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.