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Finding the Fourth Proportional to 255,652,403.60, 383,478,605.40 and 177,424,288.40

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Solution

The fourth proportional to 255,652,403.60, 383,478,605.40 and 177,424,288.40 is: 266,136,432.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,652,403.60 : 383,478,605.40 = 177,424,288.40 : x
  2. Step 2: Convert to fraction form
    255,652,403.60/383,478,605.40 = 177,424,288.40/x
  3. Step 3: Cross multiply
    255,652,403.60x = 383,478,605.40 × 177,424,288.40
  4. Step 4: Simplify right side
    255,652,403.60x = 68,038,418,679,719,392
  5. Step 5: Solve for x
    x = 68,038,418,679,719,392/255,652,403.60
  6. Step 6: Final answer
    x = 266,136,432.60

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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.