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Finding the Fourth Proportional to 540,376.16, 745,811.70 and 314,152.88

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Solution

The fourth proportional to 540,376.16, 745,811.70 and 314,152.88 is: 433,584.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,376.16 : 745,811.70 = 314,152.88 : x
  2. Step 2: Convert to fraction form
    540,376.16/745,811.70 = 314,152.88/x
  3. Step 3: Cross multiply
    540,376.16x = 745,811.70 × 314,152.88
  4. Step 4: Simplify right side
    540,376.16x = 234,298,893,492.70
  5. Step 5: Solve for x
    x = 234,298,893,492.70/540,376.16
  6. Step 6: Final answer
    x = 433,584.81

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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.