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Finding the Fourth Proportional to 314,623.80, 472,242.90 and 157,030.20

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Solution

The fourth proportional to 314,623.80, 472,242.90 and 157,030.20 is: 235,698.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,623.80 : 472,242.90 = 157,030.20 : x
  2. Step 2: Convert to fraction form
    314,623.80/472,242.90 = 157,030.20/x
  3. Step 3: Cross multiply
    314,623.80x = 472,242.90 × 157,030.20
  4. Step 4: Simplify right side
    314,623.80x = 74,156,397,035.58
  5. Step 5: Solve for x
    x = 74,156,397,035.58/314,623.80
  6. Step 6: Final answer
    x = 235,698.62

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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.