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Finding the Fourth Proportional to 553,338,665.80, 830,007,998.70 and 144,394,816.30

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Solution

The fourth proportional to 553,338,665.80, 830,007,998.70 and 144,394,816.30 is: 216,592,224.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,338,665.80 : 830,007,998.70 = 144,394,816.30 : x
  2. Step 2: Convert to fraction form
    553,338,665.80/830,007,998.70 = 144,394,816.30/x
  3. Step 3: Cross multiply
    553,338,665.80x = 830,007,998.70 × 144,394,816.30
  4. Step 4: Simplify right side
    553,338,665.80x = 119,848,852,499,817,152
  5. Step 5: Solve for x
    x = 119,848,852,499,817,152/553,338,665.80
  6. Step 6: Final answer
    x = 216,592,224.45

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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.