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Finding the Fourth Proportional to 282,643.65, 390,069.93 and 161,822.83

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Solution

The fourth proportional to 282,643.65, 390,069.93 and 161,822.83 is: 223,327.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,643.65 : 390,069.93 = 161,822.83 : x
  2. Step 2: Convert to fraction form
    282,643.65/390,069.93 = 161,822.83/x
  3. Step 3: Cross multiply
    282,643.65x = 390,069.93 × 161,822.83
  4. Step 4: Simplify right side
    282,643.65x = 63,122,219,970.50
  5. Step 5: Solve for x
    x = 63,122,219,970.50/282,643.65
  6. Step 6: Final answer
    x = 223,327.93

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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.