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Finding the Fourth Proportional to 768,760.65, 1,153,280.70 and 384,710.08

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Solution

The fourth proportional to 768,760.65, 1,153,280.70 and 384,710.08 is: 577,135.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,760.65 : 1,153,280.70 = 384,710.08 : x
  2. Step 2: Convert to fraction form
    768,760.65/1,153,280.70 = 384,710.08/x
  3. Step 3: Cross multiply
    768,760.65x = 1,153,280.70 × 384,710.08
  4. Step 4: Simplify right side
    768,760.65x = 443,678,711,800.00
  5. Step 5: Solve for x
    x = 443,678,711,800.00/768,760.65
  6. Step 6: Final answer
    x = 577,135.05

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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.