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Finding the Fourth Proportional to 280,357.92, 420,516.54 and 109,547.52

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Solution

The fourth proportional to 280,357.92, 420,516.54 and 109,547.52 is: 164,313.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,357.92 : 420,516.54 = 109,547.52 : x
  2. Step 2: Convert to fraction form
    280,357.92/420,516.54 = 109,547.52/x
  3. Step 3: Cross multiply
    280,357.92x = 420,516.54 × 109,547.52
  4. Step 4: Simplify right side
    280,357.92x = 46,066,545,127.27
  5. Step 5: Solve for x
    x = 46,066,545,127.27/280,357.92
  6. Step 6: Final answer
    x = 164,313.34

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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.