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Finding the Fourth Proportional to 514,668.60, 710,141.58 and 288,270.36

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Solution

The fourth proportional to 514,668.60, 710,141.58 and 288,270.36 is: 397,756.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,668.60 : 710,141.58 = 288,270.36 : x
  2. Step 2: Convert to fraction form
    514,668.60/710,141.58 = 288,270.36/x
  3. Step 3: Cross multiply
    514,668.60x = 710,141.58 × 288,270.36
  4. Step 4: Simplify right side
    514,668.60x = 204,712,768,917.57
  5. Step 5: Solve for x
    x = 204,712,768,917.57/514,668.60
  6. Step 6: Final answer
    x = 397,756.48

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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.