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Finding the Fourth Proportional to 290,304,039.30, 435,456,058.95 and 256,291,815.30

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Solution

The fourth proportional to 290,304,039.30, 435,456,058.95 and 256,291,815.30 is: 384,437,722.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,304,039.30 : 435,456,058.95 = 256,291,815.30 : x
  2. Step 2: Convert to fraction form
    290,304,039.30/435,456,058.95 = 256,291,815.30/x
  3. Step 3: Cross multiply
    290,304,039.30x = 435,456,058.95 × 256,291,815.30
  4. Step 4: Simplify right side
    290,304,039.30x = 111,603,823,831,679,312
  5. Step 5: Solve for x
    x = 111,603,823,831,679,312/290,304,039.30
  6. Step 6: Final answer
    x = 384,437,722.95

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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.