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Finding the Fourth Proportional to 314,643.80, 472,272.90 and 157,050.20

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Solution

The fourth proportional to 314,643.80, 472,272.90 and 157,050.20 is: 235,728.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,643.80 : 472,272.90 = 157,050.20 : x
  2. Step 2: Convert to fraction form
    314,643.80/472,272.90 = 157,050.20/x
  3. Step 3: Cross multiply
    314,643.80x = 472,272.90 × 157,050.20
  4. Step 4: Simplify right side
    314,643.80x = 74,170,553,399.58
  5. Step 5: Solve for x
    x = 74,170,553,399.58/314,643.80
  6. Step 6: Final answer
    x = 235,728.63

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1.5x scale

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.