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Finding the Fourth Proportional to 657,069.80, 983,417.70 and 476,642.30

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Solution

The fourth proportional to 657,069.80, 983,417.70 and 476,642.30 is: 713,376.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,069.80 : 983,417.70 = 476,642.30 : x
  2. Step 2: Convert to fraction form
    657,069.80/983,417.70 = 476,642.30/x
  3. Step 3: Cross multiply
    657,069.80x = 983,417.70 × 476,642.30
  4. Step 4: Simplify right side
    657,069.80x = 468,738,474,388.71
  5. Step 5: Solve for x
    x = 468,738,474,388.71/657,069.80
  6. Step 6: Final answer
    x = 713,376.99

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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.