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Finding the Fourth Proportional to 282,965.76, 390,484.52 and 155,641.32

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Solution

The fourth proportional to 282,965.76, 390,484.52 and 155,641.32 is: 214,780.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,965.76 : 390,484.52 = 155,641.32 : x
  2. Step 2: Convert to fraction form
    282,965.76/390,484.52 = 155,641.32/x
  3. Step 3: Cross multiply
    282,965.76x = 390,484.52 × 155,641.32
  4. Step 4: Simplify right side
    282,965.76x = 60,775,526,132.37
  5. Step 5: Solve for x
    x = 60,775,526,132.37/282,965.76
  6. Step 6: Final answer
    x = 214,780.50

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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.