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Finding the Fourth Proportional to 342,210.98, 513,145.14 and 105,522.90

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Solution

The fourth proportional to 342,210.98, 513,145.14 and 105,522.90 is: 158,231.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,210.98 : 513,145.14 = 105,522.90 : x
  2. Step 2: Convert to fraction form
    342,210.98/513,145.14 = 105,522.90/x
  3. Step 3: Cross multiply
    342,210.98x = 513,145.14 × 105,522.90
  4. Step 4: Simplify right side
    342,210.98x = 54,148,563,293.71
  5. Step 5: Solve for x
    x = 54,148,563,293.71/342,210.98
  6. Step 6: Final answer
    x = 158,231.52

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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.