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Finding the Fourth Proportional to 385,285.20, 577,927.80 and 291,973.20

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Solution

The fourth proportional to 385,285.20, 577,927.80 and 291,973.20 is: 437,959.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,285.20 : 577,927.80 = 291,973.20 : x
  2. Step 2: Convert to fraction form
    385,285.20/577,927.80 = 291,973.20/x
  3. Step 3: Cross multiply
    385,285.20x = 577,927.80 × 291,973.20
  4. Step 4: Simplify right side
    385,285.20x = 168,739,429,134.96
  5. Step 5: Solve for x
    x = 168,739,429,134.96/385,285.20
  6. Step 6: Final answer
    x = 437,959.80

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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.