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Finding the Fourth Proportional to 394,643,297.84, 592,169,059.56 and 286,361,210.48

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Solution

The fourth proportional to 394,643,297.84, 592,169,059.56 and 286,361,210.48 is: 429,689,924.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,643,297.84 : 592,169,059.56 = 286,361,210.48 : x
  2. Step 2: Convert to fraction form
    394,643,297.84/592,169,059.56 = 286,361,210.48/x
  3. Step 3: Cross multiply
    394,643,297.84x = 592,169,059.56 × 286,361,210.48
  4. Step 4: Simplify right side
    394,643,297.84x = 169,574,248,704,404,800
  5. Step 5: Solve for x
    x = 169,574,248,704,404,800/394,643,297.84
  6. Step 6: Final answer
    x = 429,689,924.12

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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.