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Finding the Fourth Proportional to 357,435, 535,823.94 and 154,904.12

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Solution

The fourth proportional to 357,435, 535,823.94 and 154,904.12 is: 232,213.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,435 : 535,823.94 = 154,904.12 : x
  2. Step 2: Convert to fraction form
    357,435/535,823.94 = 154,904.12/x
  3. Step 3: Cross multiply
    357,435x = 535,823.94 × 154,904.12
  4. Step 4: Simplify right side
    357,435x = 83,001,333,221.51
  5. Step 5: Solve for x
    x = 83,001,333,221.51/357,435
  6. Step 6: Final answer
    x = 232,213.78

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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.