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Finding the Fourth Proportional to 280,368,306.40, 420,552,459.60 and 183,622,424.80

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Solution

The fourth proportional to 280,368,306.40, 420,552,459.60 and 183,622,424.80 is: 275,433,637.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,368,306.40 : 420,552,459.60 = 183,622,424.80 : x
  2. Step 2: Convert to fraction form
    280,368,306.40/420,552,459.60 = 183,622,424.80/x
  3. Step 3: Cross multiply
    280,368,306.40x = 420,552,459.60 × 183,622,424.80
  4. Step 4: Simplify right side
    280,368,306.40x = 77,222,862,387,356,048
  5. Step 5: Solve for x
    x = 77,222,862,387,356,048/280,368,306.40
  6. Step 6: Final answer
    x = 275,433,637.20

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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.