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Finding the Fourth Proportional to 610,716, 842,788.08 and 342,444

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Solution

The fourth proportional to 610,716, 842,788.08 and 342,444 is: 472,572.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,716 : 842,788.08 = 342,444 : x
  2. Step 2: Convert to fraction form
    610,716/842,788.08 = 342,444/x
  3. Step 3: Cross multiply
    610,716x = 842,788.08 × 342,444
  4. Step 4: Simplify right side
    610,716x = 288,607,721,267.52
  5. Step 5: Solve for x
    x = 288,607,721,267.52/610,716
  6. Step 6: Final answer
    x = 472,572.72

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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.