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Finding the Fourth Proportional to 342,005.10, 513,007.65 and 142,259.10

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Solution

The fourth proportional to 342,005.10, 513,007.65 and 142,259.10 is: 213,388.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,005.10 : 513,007.65 = 142,259.10 : x
  2. Step 2: Convert to fraction form
    342,005.10/513,007.65 = 142,259.10/x
  3. Step 3: Cross multiply
    342,005.10x = 513,007.65 × 142,259.10
  4. Step 4: Simplify right side
    342,005.10x = 72,980,006,582.12
  5. Step 5: Solve for x
    x = 72,980,006,582.12/342,005.10
  6. Step 6: Final answer
    x = 213,388.65

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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.