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Finding the Fourth Proportional to 280,718.40, 421,210.40 and 145,710.72

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Solution

The fourth proportional to 280,718.40, 421,210.40 and 145,710.72 is: 218,635.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,718.40 : 421,210.40 = 145,710.72 : x
  2. Step 2: Convert to fraction form
    280,718.40/421,210.40 = 145,710.72/x
  3. Step 3: Cross multiply
    280,718.40x = 421,210.40 × 145,710.72
  4. Step 4: Simplify right side
    280,718.40x = 61,374,869,926.93
  5. Step 5: Solve for x
    x = 61,374,869,926.93/280,718.40
  6. Step 6: Final answer
    x = 218,635.01

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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.