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Finding the Fourth Proportional to 315,468.40, 473,029.80 and 128,268.40

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Solution

The fourth proportional to 315,468.40, 473,029.80 and 128,268.40 is: 192,332.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,468.40 : 473,029.80 = 128,268.40 : x
  2. Step 2: Convert to fraction form
    315,468.40/473,029.80 = 128,268.40/x
  3. Step 3: Cross multiply
    315,468.40x = 473,029.80 × 128,268.40
  4. Step 4: Simplify right side
    315,468.40x = 60,674,775,598.32
  5. Step 5: Solve for x
    x = 60,674,775,598.32/315,468.40
  6. Step 6: Final answer
    x = 192,332.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.