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Finding the Fourth Proportional to 418,917,214.84, 578,105,754.21 and 242,807,361.83

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Solution

The fourth proportional to 418,917,214.84, 578,105,754.21 and 242,807,361.83 is: 335,074,158.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,917,214.84 : 578,105,754.21 = 242,807,361.83 : x
  2. Step 2: Convert to fraction form
    418,917,214.84/578,105,754.21 = 242,807,361.83/x
  3. Step 3: Cross multiply
    418,917,214.84x = 578,105,754.21 × 242,807,361.83
  4. Step 4: Simplify right side
    418,917,214.84x = 140,368,333,035,602,448
  5. Step 5: Solve for x
    x = 140,368,333,035,602,448/418,917,214.84
  6. Step 6: Final answer
    x = 335,074,158.01

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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.