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Finding the Fourth Proportional to 319,140.10, 478,710.15 and 194,724.10

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Solution

The fourth proportional to 319,140.10, 478,710.15 and 194,724.10 is: 292,086.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,140.10 : 478,710.15 = 194,724.10 : x
  2. Step 2: Convert to fraction form
    319,140.10/478,710.15 = 194,724.10/x
  3. Step 3: Cross multiply
    319,140.10x = 478,710.15 × 194,724.10
  4. Step 4: Simplify right side
    319,140.10x = 93,216,403,119.62
  5. Step 5: Solve for x
    x = 93,216,403,119.62/319,140.10
  6. Step 6: Final answer
    x = 292,086.15

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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.