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Finding the Fourth Proportional to 282,914, 390,421.32 and 155,597.84

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Solution

The fourth proportional to 282,914, 390,421.32 and 155,597.84 is: 214,725.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,914 : 390,421.32 = 155,597.84 : x
  2. Step 2: Convert to fraction form
    282,914/390,421.32 = 155,597.84/x
  3. Step 3: Cross multiply
    282,914x = 390,421.32 × 155,597.84
  4. Step 4: Simplify right side
    282,914x = 60,748,714,081.95
  5. Step 5: Solve for x
    x = 60,748,714,081.95/282,914
  6. Step 6: Final answer
    x = 214,725.02

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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.