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Finding the Fourth Proportional to 610,804, 842,987.36 and 342,532

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Solution

The fourth proportional to 610,804, 842,987.36 and 342,532 is: 472,737.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,804 : 842,987.36 = 342,532 : x
  2. Step 2: Convert to fraction form
    610,804/842,987.36 = 342,532/x
  3. Step 3: Cross multiply
    610,804x = 842,987.36 × 342,532
  4. Step 4: Simplify right side
    610,804x = 288,750,146,395.52
  5. Step 5: Solve for x
    x = 288,750,146,395.52/610,804
  6. Step 6: Final answer
    x = 472,737.81

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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.