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Finding the Fourth Proportional to 342,089.34, 472,158.22 and 198,931.96

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Solution

The fourth proportional to 342,089.34, 472,158.22 and 198,931.96 is: 274,569.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,089.34 : 472,158.22 = 198,931.96 : x
  2. Step 2: Convert to fraction form
    342,089.34/472,158.22 = 198,931.96/x
  3. Step 3: Cross multiply
    342,089.34x = 472,158.22 × 198,931.96
  4. Step 4: Simplify right side
    342,089.34x = 93,927,360,134.71
  5. Step 5: Solve for x
    x = 93,927,360,134.71/342,089.34
  6. Step 6: Final answer
    x = 274,569.68

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1.5x scale

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.