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Finding the Fourth Proportional to 659,810.40, 910,542.24 and 358,004.16

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Solution

The fourth proportional to 659,810.40, 910,542.24 and 358,004.16 is: 494,047.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,810.40 : 910,542.24 = 358,004.16 : x
  2. Step 2: Convert to fraction form
    659,810.40/910,542.24 = 358,004.16/x
  3. Step 3: Cross multiply
    659,810.40x = 910,542.24 × 358,004.16
  4. Step 4: Simplify right side
    659,810.40x = 325,977,909,775.72
  5. Step 5: Solve for x
    x = 325,977,909,775.72/659,810.40
  6. Step 6: Final answer
    x = 494,047.85

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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.