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Finding the Fourth Proportional to 610,533, 842,535.54 and 342,261

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Solution

The fourth proportional to 610,533, 842,535.54 and 342,261 is: 472,320.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,533 : 842,535.54 = 342,261 : x
  2. Step 2: Convert to fraction form
    610,533/842,535.54 = 342,261/x
  3. Step 3: Cross multiply
    610,533x = 842,535.54 × 342,261
  4. Step 4: Simplify right side
    610,533x = 288,367,056,455.94
  5. Step 5: Solve for x
    x = 288,367,056,455.94/610,533
  6. Step 6: Final answer
    x = 472,320.18

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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.