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Finding the Fourth Proportional to 380,319.68, 570,456.48 and 99,830.72

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Solution

The fourth proportional to 380,319.68, 570,456.48 and 99,830.72 is: 149,740.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,319.68 : 570,456.48 = 99,830.72 : x
  2. Step 2: Convert to fraction form
    380,319.68/570,456.48 = 99,830.72/x
  3. Step 3: Cross multiply
    380,319.68x = 570,456.48 × 99,830.72
  4. Step 4: Simplify right side
    380,319.68x = 56,949,081,127.07
  5. Step 5: Solve for x
    x = 56,949,081,127.07/380,319.68
  6. Step 6: Final answer
    x = 149,740.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.