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Finding the Fourth Proportional to 260,580, 390,695.04 and 120,262.08

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Solution

The fourth proportional to 260,580, 390,695.04 and 120,262.08 is: 180,312.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,580 : 390,695.04 = 120,262.08 : x
  2. Step 2: Convert to fraction form
    260,580/390,695.04 = 120,262.08/x
  3. Step 3: Cross multiply
    260,580x = 390,695.04 × 120,262.08
  4. Step 4: Simplify right side
    260,580x = 46,985,798,156.08
  5. Step 5: Solve for x
    x = 46,985,798,156.08/260,580
  6. Step 6: Final answer
    x = 180,312.37

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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.