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Finding the Fourth Proportional to 513,712.16, 708,998 and 295,878.96

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Solution

The fourth proportional to 513,712.16, 708,998 and 295,878.96 is: 408,356.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,712.16 : 708,998 = 295,878.96 : x
  2. Step 2: Convert to fraction form
    513,712.16/708,998 = 295,878.96/x
  3. Step 3: Cross multiply
    513,712.16x = 708,998 × 295,878.96
  4. Step 4: Simplify right side
    513,712.16x = 209,777,590,882.08
  5. Step 5: Solve for x
    x = 209,777,590,882.08/513,712.16
  6. Step 6: Final answer
    x = 408,356.29

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1.5x scale

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.