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Finding the Fourth Proportional to 610,416, 842,374.08 and 342,144

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Solution

The fourth proportional to 610,416, 842,374.08 and 342,144 is: 472,158.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,416 : 842,374.08 = 342,144 : x
  2. Step 2: Convert to fraction form
    610,416/842,374.08 = 342,144/x
  3. Step 3: Cross multiply
    610,416x = 842,374.08 × 342,144
  4. Step 4: Simplify right side
    610,416x = 288,213,237,227.52
  5. Step 5: Solve for x
    x = 288,213,237,227.52/610,416
  6. Step 6: Final answer
    x = 472,158.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.