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Finding the Fourth Proportional to 258,706.80, 357,014.88 and 145,529.55

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Solution

The fourth proportional to 258,706.80, 357,014.88 and 145,529.55 is: 200,830.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,706.80 : 357,014.88 = 145,529.55 : x
  2. Step 2: Convert to fraction form
    258,706.80/357,014.88 = 145,529.55/x
  3. Step 3: Cross multiply
    258,706.80x = 357,014.88 × 145,529.55
  4. Step 4: Simplify right side
    258,706.80x = 51,956,214,829.70
  5. Step 5: Solve for x
    x = 51,956,214,829.70/258,706.80
  6. Step 6: Final answer
    x = 200,830.50

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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.