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Finding the Fourth Proportional to 826,507, 1,140,488.40 and 463,847.68

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Solution

The fourth proportional to 826,507, 1,140,488.40 and 463,847.68 is: 640,058.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,507 : 1,140,488.40 = 463,847.68 : x
  2. Step 2: Convert to fraction form
    826,507/1,140,488.40 = 463,847.68/x
  3. Step 3: Cross multiply
    826,507x = 1,140,488.40 × 463,847.68
  4. Step 4: Simplify right side
    826,507x = 529,012,898,406.91
  5. Step 5: Solve for x
    x = 529,012,898,406.91/826,507
  6. Step 6: Final answer
    x = 640,058.58

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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.