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Finding the Fourth Proportional to 457,746.40, 685,237.20 and 402,450.40

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Solution

The fourth proportional to 457,746.40, 685,237.20 and 402,450.40 is: 602,460.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,746.40 : 685,237.20 = 402,450.40 : x
  2. Step 2: Convert to fraction form
    457,746.40/685,237.20 = 402,450.40/x
  3. Step 3: Cross multiply
    457,746.40x = 685,237.20 × 402,450.40
  4. Step 4: Simplify right side
    457,746.40x = 275,773,985,234.88
  5. Step 5: Solve for x
    x = 275,773,985,234.88/457,746.40
  6. Step 6: Final answer
    x = 602,460.19

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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.