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Finding the Fourth Proportional to 289,484.80, 434,073.60 and 102,502.40

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Solution

The fourth proportional to 289,484.80, 434,073.60 and 102,502.40 is: 153,699.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,484.80 : 434,073.60 = 102,502.40 : x
  2. Step 2: Convert to fraction form
    289,484.80/434,073.60 = 102,502.40/x
  3. Step 3: Cross multiply
    289,484.80x = 434,073.60 × 102,502.40
  4. Step 4: Simplify right side
    289,484.80x = 44,493,585,776.64
  5. Step 5: Solve for x
    x = 44,493,585,776.64/289,484.80
  6. Step 6: Final answer
    x = 153,699.21

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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.