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Finding the Fourth Proportional to 553,608,708.30, 830,413,062.45 and 323,459,325.90

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Solution

The fourth proportional to 553,608,708.30, 830,413,062.45 and 323,459,325.90 is: 485,188,988.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,608,708.30 : 830,413,062.45 = 323,459,325.90 : x
  2. Step 2: Convert to fraction form
    553,608,708.30/830,413,062.45 = 323,459,325.90/x
  3. Step 3: Cross multiply
    553,608,708.30x = 830,413,062.45 × 323,459,325.90
  4. Step 4: Simplify right side
    553,608,708.30x = 268,604,849,398,631,584
  5. Step 5: Solve for x
    x = 268,604,849,398,631,584/553,608,708.30
  6. Step 6: Final answer
    x = 485,188,988.85

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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.