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Finding the Fourth Proportional to 255,461.60, 352,547.88 and 142,284.36

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Solution

The fourth proportional to 255,461.60, 352,547.88 and 142,284.36 is: 196,358.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,461.60 : 352,547.88 = 142,284.36 : x
  2. Step 2: Convert to fraction form
    255,461.60/352,547.88 = 142,284.36/x
  3. Step 3: Cross multiply
    255,461.60x = 352,547.88 × 142,284.36
  4. Step 4: Simplify right side
    255,461.60x = 50,162,049,475.16
  5. Step 5: Solve for x
    x = 50,162,049,475.16/255,461.60
  6. Step 6: Final answer
    x = 196,358.47

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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.