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Finding the Fourth Proportional to 540,281.16, 810,456.30 and 207,857.16

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Solution

The fourth proportional to 540,281.16, 810,456.30 and 207,857.16 is: 311,799.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,281.16 : 810,456.30 = 207,857.16 : x
  2. Step 2: Convert to fraction form
    540,281.16/810,456.30 = 207,857.16/x
  3. Step 3: Cross multiply
    540,281.16x = 810,456.30 × 207,857.16
  4. Step 4: Simplify right side
    540,281.16x = 168,459,144,822.11
  5. Step 5: Solve for x
    x = 168,459,144,822.11/540,281.16
  6. Step 6: Final answer
    x = 311,799.04

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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.