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Finding the Fourth Proportional to 282,637.76, 390,061.86 and 161,817.08

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Solution

The fourth proportional to 282,637.76, 390,061.86 and 161,817.08 is: 223,320.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,637.76 : 390,061.86 = 161,817.08 : x
  2. Step 2: Convert to fraction form
    282,637.76/390,061.86 = 161,817.08/x
  3. Step 3: Cross multiply
    282,637.76x = 390,061.86 × 161,817.08
  4. Step 4: Simplify right side
    282,637.76x = 63,118,671,204.57
  5. Step 5: Solve for x
    x = 63,118,671,204.57/282,637.76
  6. Step 6: Final answer
    x = 223,320.02

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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.