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Finding the Fourth Proportional to 485,333,805.60, 728,000,708.40 and 194,245,855.20

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Solution

The fourth proportional to 485,333,805.60, 728,000,708.40 and 194,245,855.20 is: 291,368,782.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,333,805.60 : 728,000,708.40 = 194,245,855.20 : x
  2. Step 2: Convert to fraction form
    485,333,805.60/728,000,708.40 = 194,245,855.20/x
  3. Step 3: Cross multiply
    485,333,805.60x = 728,000,708.40 × 194,245,855.20
  4. Step 4: Simplify right side
    485,333,805.60x = 141,411,120,189,363,808
  5. Step 5: Solve for x
    x = 141,411,120,189,363,808/485,333,805.60
  6. Step 6: Final answer
    x = 291,368,782.80

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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.