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Finding the Fourth Proportional to 213,343.64, 294,402 and 127,399.60

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Solution

The fourth proportional to 213,343.64, 294,402 and 127,399.60 is: 175,804.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,343.64 : 294,402 = 127,399.60 : x
  2. Step 2: Convert to fraction form
    213,343.64/294,402 = 127,399.60/x
  3. Step 3: Cross multiply
    213,343.64x = 294,402 × 127,399.60
  4. Step 4: Simplify right side
    213,343.64x = 37,506,697,039.20
  5. Step 5: Solve for x
    x = 37,506,697,039.20/213,343.64
  6. Step 6: Final answer
    x = 175,804.15

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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.