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Finding the Fourth Proportional to 342,239.84, 513,255.12 and 120,572

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Solution

The fourth proportional to 342,239.84, 513,255.12 and 120,572 is: 180,821.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,239.84 : 513,255.12 = 120,572 : x
  2. Step 2: Convert to fraction form
    342,239.84/513,255.12 = 120,572/x
  3. Step 3: Cross multiply
    342,239.84x = 513,255.12 × 120,572
  4. Step 4: Simplify right side
    342,239.84x = 61,884,196,328.64
  5. Step 5: Solve for x
    x = 61,884,196,328.64/342,239.84
  6. Step 6: Final answer
    x = 180,821.14

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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.