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Finding the Fourth Proportional to 682,718,652.90, 942,050,392.56 and 414,654,990.21

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Solution

The fourth proportional to 682,718,652.90, 942,050,392.56 and 414,654,990.21 is: 572,162,331.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,718,652.90 : 942,050,392.56 = 414,654,990.21 : x
  2. Step 2: Convert to fraction form
    682,718,652.90/942,050,392.56 = 414,654,990.21/x
  3. Step 3: Cross multiply
    682,718,652.90x = 942,050,392.56 × 414,654,990.21
  4. Step 4: Simplify right side
    682,718,652.90x = 390,625,896,304,293,440
  5. Step 5: Solve for x
    x = 390,625,896,304,293,440/682,718,652.90
  6. Step 6: Final answer
    x = 572,162,331.65

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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.