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Finding the Fourth Proportional to 438,298.30, 657,193.92 and 171,746.74

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Solution

The fourth proportional to 438,298.30, 657,193.92 and 171,746.74 is: 257,520.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,298.30 : 657,193.92 = 171,746.74 : x
  2. Step 2: Convert to fraction form
    438,298.30/657,193.92 = 171,746.74/x
  3. Step 3: Cross multiply
    438,298.30x = 657,193.92 × 171,746.74
  4. Step 4: Simplify right side
    438,298.30x = 112,870,913,307.82
  5. Step 5: Solve for x
    x = 112,870,913,307.82/438,298.30
  6. Step 6: Final answer
    x = 257,520.76

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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.