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Finding the Fourth Proportional to 656,461, 905,466.30 and 401,937.88

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Solution

The fourth proportional to 656,461, 905,466.30 and 401,937.88 is: 554,398.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,461 : 905,466.30 = 401,937.88 : x
  2. Step 2: Convert to fraction form
    656,461/905,466.30 = 401,937.88/x
  3. Step 3: Cross multiply
    656,461x = 905,466.30 × 401,937.88
  4. Step 4: Simplify right side
    656,461x = 363,941,205,033.44
  5. Step 5: Solve for x
    x = 363,941,205,033.44/656,461
  6. Step 6: Final answer
    x = 554,398.82

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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.