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Finding the Fourth Proportional to 310,223.36, 428,106.69 and 174,259.40

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Solution

The fourth proportional to 310,223.36, 428,106.69 and 174,259.40 is: 240,477.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,223.36 : 428,106.69 = 174,259.40 : x
  2. Step 2: Convert to fraction form
    310,223.36/428,106.69 = 174,259.40/x
  3. Step 3: Cross multiply
    310,223.36x = 428,106.69 × 174,259.40
  4. Step 4: Simplify right side
    310,223.36x = 74,601,614,935.39
  5. Step 5: Solve for x
    x = 74,601,614,935.39/310,223.36
  6. Step 6: Final answer
    x = 240,477.10

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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.