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Finding the Fourth Proportional to 287,505.76, 396,746.40 and 160,178.08

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Solution

The fourth proportional to 287,505.76, 396,746.40 and 160,178.08 is: 221,039.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,505.76 : 396,746.40 = 160,178.08 : x
  2. Step 2: Convert to fraction form
    287,505.76/396,746.40 = 160,178.08/x
  3. Step 3: Cross multiply
    287,505.76x = 396,746.40 × 160,178.08
  4. Step 4: Simplify right side
    287,505.76x = 63,550,076,598.91
  5. Step 5: Solve for x
    x = 63,550,076,598.91/287,505.76
  6. Step 6: Final answer
    x = 221,039.32

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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.