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Finding the Fourth Proportional to 617,964, 927,448.83 and 318,530.21

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Solution

The fourth proportional to 617,964, 927,448.83 and 318,530.21 is: 478,054.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,964 : 927,448.83 = 318,530.21 : x
  2. Step 2: Convert to fraction form
    617,964/927,448.83 = 318,530.21/x
  3. Step 3: Cross multiply
    617,964x = 927,448.83 × 318,530.21
  4. Step 4: Simplify right side
    617,964x = 295,420,465,946.91
  5. Step 5: Solve for x
    x = 295,420,465,946.91/617,964
  6. Step 6: Final answer
    x = 478,054.49

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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.