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Finding the Fourth Proportional to 924,271, 1,386,406.50 and 333,295

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Solution

The fourth proportional to 924,271, 1,386,406.50 and 333,295 is: 499,942.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,271 : 1,386,406.50 = 333,295 : x
  2. Step 2: Convert to fraction form
    924,271/1,386,406.50 = 333,295/x
  3. Step 3: Cross multiply
    924,271x = 1,386,406.50 × 333,295
  4. Step 4: Simplify right side
    924,271x = 462,082,354,417.50
  5. Step 5: Solve for x
    x = 462,082,354,417.50/924,271
  6. Step 6: Final answer
    x = 499,942.50

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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.