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Finding the Fourth Proportional to 631,827, 947,740.50 and 188,595

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Solution

The fourth proportional to 631,827, 947,740.50 and 188,595 is: 282,892.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,827 : 947,740.50 = 188,595 : x
  2. Step 2: Convert to fraction form
    631,827/947,740.50 = 188,595/x
  3. Step 3: Cross multiply
    631,827x = 947,740.50 × 188,595
  4. Step 4: Simplify right side
    631,827x = 178,739,119,597.50
  5. Step 5: Solve for x
    x = 178,739,119,597.50/631,827
  6. Step 6: Final answer
    x = 282,892.50

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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.