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Finding the Fourth Proportional to 486,323.92, 671,482.56 and 314,343.64

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Solution

The fourth proportional to 486,323.92, 671,482.56 and 314,343.64 is: 434,024.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,323.92 : 671,482.56 = 314,343.64 : x
  2. Step 2: Convert to fraction form
    486,323.92/671,482.56 = 314,343.64/x
  3. Step 3: Cross multiply
    486,323.92x = 671,482.56 × 314,343.64
  4. Step 4: Simplify right side
    486,323.92x = 211,076,272,106.92
  5. Step 5: Solve for x
    x = 211,076,272,106.92/486,323.92
  6. Step 6: Final answer
    x = 434,024.04

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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.