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Finding the Fourth Proportional to 765,889.78, 1,056,886.50 and 421,658.68

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Solution

The fourth proportional to 765,889.78, 1,056,886.50 and 421,658.68 is: 581,866.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,889.78 : 1,056,886.50 = 421,658.68 : x
  2. Step 2: Convert to fraction form
    765,889.78/1,056,886.50 = 421,658.68/x
  3. Step 3: Cross multiply
    765,889.78x = 1,056,886.50 × 421,658.68
  4. Step 4: Simplify right side
    765,889.78x = 445,645,366,499.82
  5. Step 5: Solve for x
    x = 445,645,366,499.82/765,889.78
  6. Step 6: Final answer
    x = 581,866.19

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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.