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Finding the Fourth Proportional to 394,424.71, 591,210.52 and 157,507

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Solution

The fourth proportional to 394,424.71, 591,210.52 and 157,507 is: 236,090.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,424.71 : 591,210.52 = 157,507 : x
  2. Step 2: Convert to fraction form
    394,424.71/591,210.52 = 157,507/x
  3. Step 3: Cross multiply
    394,424.71x = 591,210.52 × 157,507
  4. Step 4: Simplify right side
    394,424.71x = 93,119,795,373.64
  5. Step 5: Solve for x
    x = 93,119,795,373.64/394,424.71
  6. Step 6: Final answer
    x = 236,090.17

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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.