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Finding the Fourth Proportional to 644,309.64, 889,592.10 and 402,700.80

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Solution

The fourth proportional to 644,309.64, 889,592.10 and 402,700.80 is: 556,005.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,309.64 : 889,592.10 = 402,700.80 : x
  2. Step 2: Convert to fraction form
    644,309.64/889,592.10 = 402,700.80/x
  3. Step 3: Cross multiply
    644,309.64x = 889,592.10 × 402,700.80
  4. Step 4: Simplify right side
    644,309.64x = 358,239,450,343.68
  5. Step 5: Solve for x
    x = 358,239,450,343.68/644,309.64
  6. Step 6: Final answer
    x = 556,005.11

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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.