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Finding the Fourth Proportional to 761,807.77, 1,051,306.49 and 417,676.64

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Solution

The fourth proportional to 761,807.77, 1,051,306.49 and 417,676.64 is: 576,400.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,807.77 : 1,051,306.49 = 417,676.64 : x
  2. Step 2: Convert to fraction form
    761,807.77/1,051,306.49 = 417,676.64/x
  3. Step 3: Cross multiply
    761,807.77x = 1,051,306.49 × 417,676.64
  4. Step 4: Simplify right side
    761,807.77x = 439,106,158,141.05
  5. Step 5: Solve for x
    x = 439,106,158,141.05/761,807.77
  6. Step 6: Final answer
    x = 576,400.21

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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.