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Finding the Fourth Proportional to 438,641.84, 657,677.64 and 172,428.40

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Solution

The fourth proportional to 438,641.84, 657,677.64 and 172,428.40 is: 258,530.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,641.84 : 657,677.64 = 172,428.40 : x
  2. Step 2: Convert to fraction form
    438,641.84/657,677.64 = 172,428.40/x
  3. Step 3: Cross multiply
    438,641.84x = 657,677.64 × 172,428.40
  4. Step 4: Simplify right side
    438,641.84x = 113,402,303,180.98
  5. Step 5: Solve for x
    x = 113,402,303,180.98/438,641.84
  6. Step 6: Final answer
    x = 258,530.52

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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.