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Finding the Fourth Proportional to 527,804, 728,415.60 and 289,386.08

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Solution

The fourth proportional to 527,804, 728,415.60 and 289,386.08 is: 399,378.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,804 : 728,415.60 = 289,386.08 : x
  2. Step 2: Convert to fraction form
    527,804/728,415.60 = 289,386.08/x
  3. Step 3: Cross multiply
    527,804x = 728,415.60 × 289,386.08
  4. Step 4: Simplify right side
    527,804x = 210,793,335,094.85
  5. Step 5: Solve for x
    x = 210,793,335,094.85/527,804
  6. Step 6: Final answer
    x = 399,378.06

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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.