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Finding the Fourth Proportional to 610,262.16, 842,211.51 and 338,415.30

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Solution

The fourth proportional to 610,262.16, 842,211.51 and 338,415.30 is: 467,040.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,262.16 : 842,211.51 = 338,415.30 : x
  2. Step 2: Convert to fraction form
    610,262.16/842,211.51 = 338,415.30/x
  3. Step 3: Cross multiply
    610,262.16x = 842,211.51 × 338,415.30
  4. Step 4: Simplify right side
    610,262.16x = 285,017,260,820.10
  5. Step 5: Solve for x
    x = 285,017,260,820.10/610,262.16
  6. Step 6: Final answer
    x = 467,040.69

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1.5x scale

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.