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Finding the Fourth Proportional to 430,841.70, 646,291.35 and 146,528.10

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Solution

The fourth proportional to 430,841.70, 646,291.35 and 146,528.10 is: 219,801.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,841.70 : 646,291.35 = 146,528.10 : x
  2. Step 2: Convert to fraction form
    430,841.70/646,291.35 = 146,528.10/x
  3. Step 3: Cross multiply
    430,841.70x = 646,291.35 × 146,528.10
  4. Step 4: Simplify right side
    430,841.70x = 94,699,843,561.94
  5. Step 5: Solve for x
    x = 94,699,843,561.94/430,841.70
  6. Step 6: Final answer
    x = 219,801.94

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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.