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Finding the Fourth Proportional to 438,415.74, 657,228.69 and 157,735.50

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Solution

The fourth proportional to 438,415.74, 657,228.69 and 157,735.50 is: 236,461.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,415.74 : 657,228.69 = 157,735.50 : x
  2. Step 2: Convert to fraction form
    438,415.74/657,228.69 = 157,735.50/x
  3. Step 3: Cross multiply
    438,415.74x = 657,228.69 × 157,735.50
  4. Step 4: Simplify right side
    438,415.74x = 103,668,296,031.50
  5. Step 5: Solve for x
    x = 103,668,296,031.50/438,415.74
  6. Step 6: Final answer
    x = 236,461.16

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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.