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Finding the Fourth Proportional to 680,315,461.79, 938,334,101.56 and 513,058,771.71

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Solution

The fourth proportional to 680,315,461.79, 938,334,101.56 and 513,058,771.71 is: 707,643,098.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,315,461.79 : 938,334,101.56 = 513,058,771.71 : x
  2. Step 2: Convert to fraction form
    680,315,461.79/938,334,101.56 = 513,058,771.71/x
  3. Step 3: Cross multiply
    680,315,461.79x = 938,334,101.56 × 513,058,771.71
  4. Step 4: Simplify right side
    680,315,461.79x = 481,420,541,598,697,344
  5. Step 5: Solve for x
    x = 481,420,541,598,697,344/680,315,461.79
  6. Step 6: Final answer
    x = 707,643,098.89

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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.