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Finding the Fourth Proportional to 314,511.40, 470,659.02 and 257,668.84

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Solution

The fourth proportional to 314,511.40, 470,659.02 and 257,668.84 is: 385,595.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,511.40 : 470,659.02 = 257,668.84 : x
  2. Step 2: Convert to fraction form
    314,511.40/470,659.02 = 257,668.84/x
  3. Step 3: Cross multiply
    314,511.40x = 470,659.02 × 257,668.84
  4. Step 4: Simplify right side
    314,511.40x = 121,274,163,718.94
  5. Step 5: Solve for x
    x = 121,274,163,718.94/314,511.40
  6. Step 6: Final answer
    x = 385,595.45

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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.