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Finding the Fourth Proportional to 342,465.08, 513,701.09 and 152,935.10

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Solution

The fourth proportional to 342,465.08, 513,701.09 and 152,935.10 is: 229,404.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,465.08 : 513,701.09 = 152,935.10 : x
  2. Step 2: Convert to fraction form
    342,465.08/513,701.09 = 152,935.10/x
  3. Step 3: Cross multiply
    342,465.08x = 513,701.09 × 152,935.10
  4. Step 4: Simplify right side
    342,465.08x = 78,562,924,236.08
  5. Step 5: Solve for x
    x = 78,562,924,236.08/342,465.08
  6. Step 6: Final answer
    x = 229,404.19

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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.