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Finding the Fourth Proportional to 644,275.36, 889,075.64 and 357,813.90

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Solution

The fourth proportional to 644,275.36, 889,075.64 and 357,813.90 is: 493,769.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,275.36 : 889,075.64 = 357,813.90 : x
  2. Step 2: Convert to fraction form
    644,275.36/889,075.64 = 357,813.90/x
  3. Step 3: Cross multiply
    644,275.36x = 889,075.64 × 357,813.90
  4. Step 4: Simplify right side
    644,275.36x = 318,123,620,148.51
  5. Step 5: Solve for x
    x = 318,123,620,148.51/644,275.36
  6. Step 6: Final answer
    x = 493,769.65

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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.