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Finding the Fourth Proportional to 407,143.60, 610,423.80 and 170,364.40

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Solution

The fourth proportional to 407,143.60, 610,423.80 and 170,364.40 is: 255,424.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,143.60 : 610,423.80 = 170,364.40 : x
  2. Step 2: Convert to fraction form
    407,143.60/610,423.80 = 170,364.40/x
  3. Step 3: Cross multiply
    407,143.60x = 610,423.80 × 170,364.40
  4. Step 4: Simplify right side
    407,143.60x = 103,994,484,432.72
  5. Step 5: Solve for x
    x = 103,994,484,432.72/407,143.60
  6. Step 6: Final answer
    x = 255,424.58

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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.