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Finding the Fourth Proportional to 310,147.64, 427,971.72 and 174,196.40

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Solution

The fourth proportional to 310,147.64, 427,971.72 and 174,196.40 is: 240,373.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,147.64 : 427,971.72 = 174,196.40 : x
  2. Step 2: Convert to fraction form
    310,147.64/427,971.72 = 174,196.40/x
  3. Step 3: Cross multiply
    310,147.64x = 427,971.72 × 174,196.40
  4. Step 4: Simplify right side
    310,147.64x = 74,551,132,925.81
  5. Step 5: Solve for x
    x = 74,551,132,925.81/310,147.64
  6. Step 6: Final answer
    x = 240,373.05

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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.