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Finding the Fourth Proportional to 260,039.10, 390,058.65 and 242,543.10

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Solution

The fourth proportional to 260,039.10, 390,058.65 and 242,543.10 is: 363,814.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,039.10 : 390,058.65 = 242,543.10 : x
  2. Step 2: Convert to fraction form
    260,039.10/390,058.65 = 242,543.10/x
  3. Step 3: Cross multiply
    260,039.10x = 390,058.65 × 242,543.10
  4. Step 4: Simplify right side
    260,039.10x = 94,606,034,152.82
  5. Step 5: Solve for x
    x = 94,606,034,152.82/260,039.10
  6. Step 6: Final answer
    x = 363,814.65

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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.