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Finding the Fourth Proportional to 342,416.16, 472,508.64 and 191,484

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Solution

The fourth proportional to 342,416.16, 472,508.64 and 191,484 is: 264,233.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,416.16 : 472,508.64 = 191,484 : x
  2. Step 2: Convert to fraction form
    342,416.16/472,508.64 = 191,484/x
  3. Step 3: Cross multiply
    342,416.16x = 472,508.64 × 191,484
  4. Step 4: Simplify right side
    342,416.16x = 90,477,844,421.76
  5. Step 5: Solve for x
    x = 90,477,844,421.76/342,416.16
  6. Step 6: Final answer
    x = 264,233.57

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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.