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Finding the Fourth Proportional to 471,809.60, 651,054.40 and 280,792.16

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Solution

The fourth proportional to 471,809.60, 651,054.40 and 280,792.16 is: 387,467.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,809.60 : 651,054.40 = 280,792.16 : x
  2. Step 2: Convert to fraction form
    471,809.60/651,054.40 = 280,792.16/x
  3. Step 3: Cross multiply
    471,809.60x = 651,054.40 × 280,792.16
  4. Step 4: Simplify right side
    471,809.60x = 182,810,971,253.50
  5. Step 5: Solve for x
    x = 182,810,971,253.50/471,809.60
  6. Step 6: Final answer
    x = 387,467.68

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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.