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Finding the Fourth Proportional to 310,157.64, 427,985.52 and 174,206.40

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Solution

The fourth proportional to 310,157.64, 427,985.52 and 174,206.40 is: 240,386.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,157.64 : 427,985.52 = 174,206.40 : x
  2. Step 2: Convert to fraction form
    310,157.64/427,985.52 = 174,206.40/x
  3. Step 3: Cross multiply
    310,157.64x = 427,985.52 × 174,206.40
  4. Step 4: Simplify right side
    310,157.64x = 74,557,816,691.33
  5. Step 5: Solve for x
    x = 74,557,816,691.33/310,157.64
  6. Step 6: Final answer
    x = 240,386.85

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1.5x scale

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.