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Finding the Fourth Proportional to 565,854.38, 849,155.45 and 266,420.55

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Solution

The fourth proportional to 565,854.38, 849,155.45 and 266,420.55 is: 399,806.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,854.38 : 849,155.45 = 266,420.55 : x
  2. Step 2: Convert to fraction form
    565,854.38/849,155.45 = 266,420.55/x
  3. Step 3: Cross multiply
    565,854.38x = 849,155.45 × 266,420.55
  4. Step 4: Simplify right side
    565,854.38x = 226,232,460,692.40
  5. Step 5: Solve for x
    x = 226,232,460,692.40/565,854.38
  6. Step 6: Final answer
    x = 399,806.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.