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Finding the Fourth Proportional to 431,503,351.66, 595,636,560.03 and 282,834,053.50

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Solution

The fourth proportional to 431,503,351.66, 595,636,560.03 and 282,834,053.50 is: 390,417,135.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,503,351.66 : 595,636,560.03 = 282,834,053.50 : x
  2. Step 2: Convert to fraction form
    431,503,351.66/595,636,560.03 = 282,834,053.50/x
  3. Step 3: Cross multiply
    431,503,351.66x = 595,636,560.03 × 282,834,053.50
  4. Step 4: Simplify right side
    431,503,351.66x = 168,466,302,686,080,960
  5. Step 5: Solve for x
    x = 168,466,302,686,080,960/431,503,351.66
  6. Step 6: Final answer
    x = 390,417,135.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.