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Finding the Fourth Proportional to 521,424, 719,565.12 and 282,960

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Solution

The fourth proportional to 521,424, 719,565.12 and 282,960 is: 390,484.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,424 : 719,565.12 = 282,960 : x
  2. Step 2: Convert to fraction form
    521,424/719,565.12 = 282,960/x
  3. Step 3: Cross multiply
    521,424x = 719,565.12 × 282,960
  4. Step 4: Simplify right side
    521,424x = 203,608,146,355.20
  5. Step 5: Solve for x
    x = 203,608,146,355.20/521,424
  6. Step 6: Final answer
    x = 390,484.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.