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Finding the Fourth Proportional to 613,598.40, 920,021.76 and 239,184

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Solution

The fourth proportional to 613,598.40, 920,021.76 and 239,184 is: 358,629.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,598.40 : 920,021.76 = 239,184 : x
  2. Step 2: Convert to fraction form
    613,598.40/920,021.76 = 239,184/x
  3. Step 3: Cross multiply
    613,598.40x = 920,021.76 × 239,184
  4. Step 4: Simplify right side
    613,598.40x = 220,054,484,643.84
  5. Step 5: Solve for x
    x = 220,054,484,643.84/613,598.40
  6. Step 6: Final answer
    x = 358,629.50

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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.