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Finding the Fourth Proportional to 343,398,459.60, 515,097,689.40 and 207,013,640.40

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Solution

The fourth proportional to 343,398,459.60, 515,097,689.40 and 207,013,640.40 is: 310,520,460.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,398,459.60 : 515,097,689.40 = 207,013,640.40 : x
  2. Step 2: Convert to fraction form
    343,398,459.60/515,097,689.40 = 207,013,640.40/x
  3. Step 3: Cross multiply
    343,398,459.60x = 515,097,689.40 × 207,013,640.40
  4. Step 4: Simplify right side
    343,398,459.60x = 106,632,247,844,322,496
  5. Step 5: Solve for x
    x = 106,632,247,844,322,496/343,398,459.60
  6. Step 6: Final answer
    x = 310,520,460.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.