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Finding the Fourth Proportional to 656,384.10, 905,978.58 and 427,511.70

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Solution

The fourth proportional to 656,384.10, 905,978.58 and 427,511.70 is: 590,075.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,384.10 : 905,978.58 = 427,511.70 : x
  2. Step 2: Convert to fraction form
    656,384.10/905,978.58 = 427,511.70/x
  3. Step 3: Cross multiply
    656,384.10x = 905,978.58 × 427,511.70
  4. Step 4: Simplify right side
    656,384.10x = 387,316,442,899.39
  5. Step 5: Solve for x
    x = 387,316,442,899.39/656,384.10
  6. Step 6: Final answer
    x = 590,075.91

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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.