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Finding the Fourth Proportional to 430,700.96, 646,069.26 and 127,095.12

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Solution

The fourth proportional to 430,700.96, 646,069.26 and 127,095.12 is: 190,647.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,700.96 : 646,069.26 = 127,095.12 : x
  2. Step 2: Convert to fraction form
    430,700.96/646,069.26 = 127,095.12/x
  3. Step 3: Cross multiply
    430,700.96x = 646,069.26 × 127,095.12
  4. Step 4: Simplify right side
    430,700.96x = 82,112,249,492.54
  5. Step 5: Solve for x
    x = 82,112,249,492.54/430,700.96
  6. Step 6: Final answer
    x = 190,647.94

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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.