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Finding the Fourth Proportional to 400,728.10, 553,004.95 and 219,451.32

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Solution

The fourth proportional to 400,728.10, 553,004.95 and 219,451.32 is: 302,842.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,728.10 : 553,004.95 = 219,451.32 : x
  2. Step 2: Convert to fraction form
    400,728.10/553,004.95 = 219,451.32/x
  3. Step 3: Cross multiply
    400,728.10x = 553,004.95 × 219,451.32
  4. Step 4: Simplify right side
    400,728.10x = 121,357,666,244.03
  5. Step 5: Solve for x
    x = 121,357,666,244.03/400,728.10
  6. Step 6: Final answer
    x = 302,842.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.