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Finding the Fourth Proportional to 610,656, 842,705.28 and 342,384

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Solution

The fourth proportional to 610,656, 842,705.28 and 342,384 is: 472,489.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,656 : 842,705.28 = 342,384 : x
  2. Step 2: Convert to fraction form
    610,656/842,705.28 = 342,384/x
  3. Step 3: Cross multiply
    610,656x = 842,705.28 × 342,384
  4. Step 4: Simplify right side
    610,656x = 288,528,804,587.52
  5. Step 5: Solve for x
    x = 288,528,804,587.52/610,656
  6. Step 6: Final answer
    x = 472,489.92

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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.