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Finding the Fourth Proportional to 342,417.15, 513,695.77 and 117,748.40

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Solution

The fourth proportional to 342,417.15, 513,695.77 and 117,748.40 is: 176,646.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,417.15 : 513,695.77 = 117,748.40 : x
  2. Step 2: Convert to fraction form
    342,417.15/513,695.77 = 117,748.40/x
  3. Step 3: Cross multiply
    342,417.15x = 513,695.77 × 117,748.40
  4. Step 4: Simplify right side
    342,417.15x = 60,486,855,004.27
  5. Step 5: Solve for x
    x = 60,486,855,004.27/342,417.15
  6. Step 6: Final answer
    x = 176,646.69

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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.