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Finding the Fourth Proportional to 610,254.16, 842,200.47 and 338,407.30

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Solution

The fourth proportional to 610,254.16, 842,200.47 and 338,407.30 is: 467,029.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,254.16 : 842,200.47 = 338,407.30 : x
  2. Step 2: Convert to fraction form
    610,254.16/842,200.47 = 338,407.30/x
  3. Step 3: Cross multiply
    610,254.16x = 842,200.47 × 338,407.30
  4. Step 4: Simplify right side
    610,254.16x = 285,006,787,111.43
  5. Step 5: Solve for x
    x = 285,006,787,111.43/610,254.16
  6. Step 6: Final answer
    x = 467,029.65

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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.