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Finding the Fourth Proportional to 291,866.16, 434,897.73 and 260,031.54

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Solution

The fourth proportional to 291,866.16, 434,897.73 and 260,031.54 is: 387,462.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,866.16 : 434,897.73 = 260,031.54 : x
  2. Step 2: Convert to fraction form
    291,866.16/434,897.73 = 260,031.54/x
  3. Step 3: Cross multiply
    291,866.16x = 434,897.73 × 260,031.54
  4. Step 4: Simplify right side
    291,866.16x = 113,087,126,474.40
  5. Step 5: Solve for x
    x = 113,087,126,474.40/291,866.16
  6. Step 6: Final answer
    x = 387,462.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.