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Finding the Fourth Proportional to 602,429,896.40, 903,644,844.60 and 418,763,886.80

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Solution

The fourth proportional to 602,429,896.40, 903,644,844.60 and 418,763,886.80 is: 628,145,830.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,429,896.40 : 903,644,844.60 = 418,763,886.80 : x
  2. Step 2: Convert to fraction form
    602,429,896.40/903,644,844.60 = 418,763,886.80/x
  3. Step 3: Cross multiply
    602,429,896.40x = 903,644,844.60 × 418,763,886.80
  4. Step 4: Simplify right side
    602,429,896.40x = 378,413,827,411,478,016
  5. Step 5: Solve for x
    x = 378,413,827,411,478,016/602,429,896.40
  6. Step 6: Final answer
    x = 628,145,830.20

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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.