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Finding the Fourth Proportional to 446,638.40, 616,354 and 245,430.08

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Solution

The fourth proportional to 446,638.40, 616,354 and 245,430.08 is: 338,689.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,638.40 : 616,354 = 245,430.08 : x
  2. Step 2: Convert to fraction form
    446,638.40/616,354 = 245,430.08/x
  3. Step 3: Cross multiply
    446,638.40x = 616,354 × 245,430.08
  4. Step 4: Simplify right side
    446,638.40x = 151,271,811,528.32
  5. Step 5: Solve for x
    x = 151,271,811,528.32/446,638.40
  6. Step 6: Final answer
    x = 338,689.67

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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.