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Finding the Fourth Proportional to 385,307.60, 578,051.64 and 160,814.80

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Solution

The fourth proportional to 385,307.60, 578,051.64 and 160,814.80 is: 241,259.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,307.60 : 578,051.64 = 160,814.80 : x
  2. Step 2: Convert to fraction form
    385,307.60/578,051.64 = 160,814.80/x
  3. Step 3: Cross multiply
    385,307.60x = 578,051.64 × 160,814.80
  4. Step 4: Simplify right side
    385,307.60x = 92,959,258,876.27
  5. Step 5: Solve for x
    x = 92,959,258,876.27/385,307.60
  6. Step 6: Final answer
    x = 241,259.86

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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.