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Finding the Fourth Proportional to 384,326.10, 575,711.55 and 266,130.90

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Solution

The fourth proportional to 384,326.10, 575,711.55 and 266,130.90 is: 398,657.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,326.10 : 575,711.55 = 266,130.90 : x
  2. Step 2: Convert to fraction form
    384,326.10/575,711.55 = 266,130.90/x
  3. Step 3: Cross multiply
    384,326.10x = 575,711.55 × 266,130.90
  4. Step 4: Simplify right side
    384,326.10x = 153,214,632,941.90
  5. Step 5: Solve for x
    x = 153,214,632,941.90/384,326.10
  6. Step 6: Final answer
    x = 398,657.89

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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.