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Finding the Fourth Proportional to 536,495.20, 803,430.60 and 255,684.40

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Solution

The fourth proportional to 536,495.20, 803,430.60 and 255,684.40 is: 382,901.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,495.20 : 803,430.60 = 255,684.40 : x
  2. Step 2: Convert to fraction form
    536,495.20/803,430.60 = 255,684.40/x
  3. Step 3: Cross multiply
    536,495.20x = 803,430.60 × 255,684.40
  4. Step 4: Simplify right side
    536,495.20x = 205,424,670,902.64
  5. Step 5: Solve for x
    x = 205,424,670,902.64/536,495.20
  6. Step 6: Final answer
    x = 382,901.23

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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.