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Finding the Fourth Proportional to 527,308.40, 727,730.40 and 297,907.80

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Solution

The fourth proportional to 527,308.40, 727,730.40 and 297,907.80 is: 411,138.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,308.40 : 727,730.40 = 297,907.80 : x
  2. Step 2: Convert to fraction form
    527,308.40/727,730.40 = 297,907.80/x
  3. Step 3: Cross multiply
    527,308.40x = 727,730.40 × 297,907.80
  4. Step 4: Simplify right side
    527,308.40x = 216,796,562,457.12
  5. Step 5: Solve for x
    x = 216,796,562,457.12/527,308.40
  6. Step 6: Final answer
    x = 411,138.08

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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.